<?xml version="1.0" encoding="US-ASCII"?>
<!-- Generated by Broadridge Transform (tm) - http://www.broadridge.com -->
<!-- Created: Wed Sep 09 14:12:13 UTC 2026 -->
<linkbase xmlns="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_ConsolidatedBalanceSheet" roleURI="http://thebankofgreenecounty.com/role/ConsolidatedBalanceSheet"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_ConsolidatedBalanceSheet_Parentheticals" roleURI="http://thebankofgreenecounty.com/role/ConsolidatedBalanceSheet_Parentheticals"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_ConsolidatedIncomeStatement" roleURI="http://thebankofgreenecounty.com/role/ConsolidatedIncomeStatement"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_ConsolidatedComprehensiveIncome" roleURI="http://thebankofgreenecounty.com/role/ConsolidatedComprehensiveIncome"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_ShareholdersEquityType2or3" roleURI="http://thebankofgreenecounty.com/role/ShareholdersEquityType2or3"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_ConsolidatedCashFlow" roleURI="http://thebankofgreenecounty.com/role/ConsolidatedCashFlow"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_Summaryofsignificantaccountingpolicies" roleURI="http://thebankofgreenecounty.com/role/Summaryofsignificantaccountingpolicies"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_BalancesatOtherBanks" roleURI="http://thebankofgreenecounty.com/role/BalancesatOtherBanks"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_Securities" roleURI="http://thebankofgreenecounty.com/role/Securities"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_LoansandAllowanceforCreditLossesonLoans" roleURI="http://thebankofgreenecounty.com/role/LoansandAllowanceforCreditLossesonLoans"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_PremisesandEquipment" roleURI="http://thebankofgreenecounty.com/role/PremisesandEquipment"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_Deposits" roleURI="http://thebankofgreenecounty.com/role/Deposits"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_Borrowings" roleURI="http://thebankofgreenecounty.com/role/Borrowings"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_AccumulatedOtherComprehensiveLoss" roleURI="http://thebankofgreenecounty.com/role/AccumulatedOtherComprehensiveLoss"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_EmployeeBenefitPlans" roleURI="http://thebankofgreenecounty.com/role/EmployeeBenefitPlans"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_StockBasedCompensation" roleURI="http://thebankofgreenecounty.com/role/StockBasedCompensation"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_EarningsPerShare" roleURI="http://thebankofgreenecounty.com/role/EarningsPerShare"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_IncomeTaxes" roleURI="http://thebankofgreenecounty.com/role/IncomeTaxes"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_CommitmentsandContingentLiabilities" roleURI="http://thebankofgreenecounty.com/role/CommitmentsandContingentLiabilities"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_VariableInterestEntities" roleURI="http://thebankofgreenecounty.com/role/VariableInterestEntities"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_DerivativeInstruments" roleURI="http://thebankofgreenecounty.com/role/DerivativeInstruments"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_OperatingLeases" roleURI="http://thebankofgreenecounty.com/role/OperatingLeases"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_ConcentrationsofCreditRisk" roleURI="http://thebankofgreenecounty.com/role/ConcentrationsofCreditRisk"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_FairValueMeasurementsandFairValueofFinancialInstruments" roleURI="http://thebankofgreenecounty.com/role/FairValueMeasurementsandFairValueofFinancialInstruments"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_RegulatoryMatters" roleURI="http://thebankofgreenecounty.com/role/RegulatoryMatters"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_CondensedFinancialStatementsofGreeneCountyBancorpInc" roleURI="http://thebankofgreenecounty.com/role/CondensedFinancialStatementsofGreeneCountyBancorpInc"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_Subsequentevents" roleURI="http://thebankofgreenecounty.com/role/Subsequentevents"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_AccountingPoliciesByPolicy" roleURI="http://thebankofgreenecounty.com/role/AccountingPoliciesByPolicy"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_SecuritiesTables" roleURI="http://thebankofgreenecounty.com/role/SecuritiesTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_LoansandAllowanceforCreditLossesonLoansTables" roleURI="http://thebankofgreenecounty.com/role/LoansandAllowanceforCreditLossesonLoansTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_PremisesandEquipmentTables" roleURI="http://thebankofgreenecounty.com/role/PremisesandEquipmentTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_DepositsTables" roleURI="http://thebankofgreenecounty.com/role/DepositsTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_AccumulatedOtherComprehensiveLossTables" roleURI="http://thebankofgreenecounty.com/role/AccumulatedOtherComprehensiveLossTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_EmployeeBenefitPlansTables" roleURI="http://thebankofgreenecounty.com/role/EmployeeBenefitPlansTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_StockBasedCompensationTables" roleURI="http://thebankofgreenecounty.com/role/StockBasedCompensationTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_EarningsPerShareTables" roleURI="http://thebankofgreenecounty.com/role/EarningsPerShareTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_IncomeTaxesTables" roleURI="http://thebankofgreenecounty.com/role/IncomeTaxesTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_CommitmentsandContingentLiabilitiesTables" roleURI="http://thebankofgreenecounty.com/role/CommitmentsandContingentLiabilitiesTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_VariableInterestEntitiesTables" roleURI="http://thebankofgreenecounty.com/role/VariableInterestEntitiesTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_DerivativeInstrumentsTables" roleURI="http://thebankofgreenecounty.com/role/DerivativeInstrumentsTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_OperatingLeasesTables" roleURI="http://thebankofgreenecounty.com/role/OperatingLeasesTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_FairValueMeasurementsandFairValueofFinancialInstrumentsTables" roleURI="http://thebankofgreenecounty.com/role/FairValueMeasurementsandFairValueofFinancialInstrumentsTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_RegulatoryMattersTables" roleURI="http://thebankofgreenecounty.com/role/RegulatoryMattersTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_CondensedFinancialStatementsofGreeneCountyBancorpIncTables" roleURI="http://thebankofgreenecounty.com/role/CondensedFinancialStatementsofGreeneCountyBancorpIncTables"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_AmortizedCostandFairValueofSecuritiesAvailableforSaleTable" roleURI="http://thebankofgreenecounty.com/role/AmortizedCostandFairValueofSecuritiesAvailableforSaleTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_AmortizedCostandFairValueandAllowanceforCreditLossonSecuritiesHeldtoMaturityTable" roleURI="http://thebankofgreenecounty.com/role/AmortizedCostandFairValueandAllowanceforCreditLossonSecuritiesHeldtoMaturityTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_AllowanceforCreditLossesonSecuritiesHeldtoMaturityTable" roleURI="http://thebankofgreenecounty.com/role/AllowanceforCreditLossesonSecuritiesHeldtoMaturityTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_SecuritiesinContinuousUnrealizedLossPositionTable" roleURI="http://thebankofgreenecounty.com/role/SecuritiesinContinuousUnrealizedLossPositionTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_InvestmentsClassifiedbyContractualMaturityDateTable" roleURI="http://thebankofgreenecounty.com/role/InvestmentsClassifiedbyContractualMaturityDateTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_MajorLoanSegmentsandClassesTable" roleURI="http://thebankofgreenecounty.com/role/MajorLoanSegmentsandClassesTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_DelinquentandNonaccrualLoansbyPastDueStatusTable" roleURI="http://thebankofgreenecounty.com/role/DelinquentandNonaccrualLoansbyPastDueStatusTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_ActivityandAllocationofAllowanceforLoanLossesTable" roleURI="http://thebankofgreenecounty.com/role/ActivityandAllocationofAllowanceforLoanLossesTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_LoanBalancesbyInternalCreditQualityIndicatorTable" roleURI="http://thebankofgreenecounty.com/role/LoanBalancesbyInternalCreditQualityIndicatorTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_LoansModifiedtoBorrowersExperiencingFinancialDifficultybytypeofConcessionGrantedTable" roleURI="http://thebankofgreenecounty.com/role/LoansModifiedtoBorrowersExperiencingFinancialDifficultybytypeofConcessionGrantedTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_LoansModifiedtoBorrowersExperiencingFinancialDifficultyTable" roleURI="http://thebankofgreenecounty.com/role/LoansModifiedtoBorrowersExperiencingFinancialDifficultyTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_PremisesandEquipmentTable" roleURI="http://thebankofgreenecounty.com/role/PremisesandEquipmentTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_MajorClassificationsofDepositsTable" roleURI="http://thebankofgreenecounty.com/role/MajorClassificationsofDepositsTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_DepositsbyTimeRemainingonMaturityTable" roleURI="http://thebankofgreenecounty.com/role/DepositsbyTimeRemainingonMaturityTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_ScheduledMaturitiesofCertificatesofDepositTable" roleURI="http://thebankofgreenecounty.com/role/ScheduledMaturitiesofCertificatesofDepositTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_AccumulatedOtherComprehensiveLossTable" roleURI="http://thebankofgreenecounty.com/role/AccumulatedOtherComprehensiveLossTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_InformationRegardingPensionPlanTable" roleURI="http://thebankofgreenecounty.com/role/InformationRegardingPensionPlanTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_ComponentsofNetPeriodicPensionCostsTable" roleURI="http://thebankofgreenecounty.com/role/ComponentsofNetPeriodicPensionCostsTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_AmountsRecognizedinOtherComprehensiveIncomeTable" roleURI="http://thebankofgreenecounty.com/role/AmountsRecognizedinOtherComprehensiveIncomeTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_AmountsRecognizedinFinancialConditionTable" roleURI="http://thebankofgreenecounty.com/role/AmountsRecognizedinFinancialConditionTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_AssumptionsUsedTable" roleURI="http://thebankofgreenecounty.com/role/AssumptionsUsedTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_AllocationofPlanAssetsTable" roleURI="http://thebankofgreenecounty.com/role/AllocationofPlanAssetsTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_SummaryofPhantomStockOptionActivityandRelatedInformationTable" roleURI="http://thebankofgreenecounty.com/role/SummaryofPhantomStockOptionActivityandRelatedInformationTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_EarningsPerShareTable" roleURI="http://thebankofgreenecounty.com/role/EarningsPerShareTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_ProvisionforIncomeTaxesTable" roleURI="http://thebankofgreenecounty.com/role/ProvisionforIncomeTaxesTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_ReconcilestheStatutoryFederalIncomeTaxRatetotheEffectiveIncomeTaxRateTable" roleURI="http://thebankofgreenecounty.com/role/ReconcilestheStatutoryFederalIncomeTaxRatetotheEffectiveIncomeTaxRateTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_IncomeTaxesPaidNetofRefundsTable" roleURI="http://thebankofgreenecounty.com/role/IncomeTaxesPaidNetofRefundsTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_DeferredTaxAssetsandLiabilitiesTable" roleURI="http://thebankofgreenecounty.com/role/DeferredTaxAssetsandLiabilitiesTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_CreditrelatedFinancialInstrumentswithOffBalanceSheetRiskTable" roleURI="http://thebankofgreenecounty.com/role/CreditrelatedFinancialInstrumentswithOffBalanceSheetRiskTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_SolarTaxCreditInvestmentsandRelatedUnfundedCommitmentsTable" roleURI="http://thebankofgreenecounty.com/role/SolarTaxCreditInvestmentsandRelatedUnfundedCommitmentsTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_NotionalAmountandFairValuesofInterestRateDerivativePositionsTable" roleURI="http://thebankofgreenecounty.com/role/NotionalAmountandFairValuesofInterestRateDerivativePositionsTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_QuantitativeDataRelatedtoOperatingLeasesTable" roleURI="http://thebankofgreenecounty.com/role/QuantitativeDataRelatedtoOperatingLeasesTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_UndiscountedCashFlowsofOperatingLeaseLiabilitiesTable" roleURI="http://thebankofgreenecounty.com/role/UndiscountedCashFlowsofOperatingLeaseLiabilitiesTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_AssetsMeasuredatFairValueonRecurringBasisTable" roleURI="http://thebankofgreenecounty.com/role/AssetsMeasuredatFairValueonRecurringBasisTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_FairValueMeasurementsforLoansEvaluatedIndividuallyandForeclosedRealEstateTable" roleURI="http://thebankofgreenecounty.com/role/FairValueMeasurementsforLoansEvaluatedIndividuallyandForeclosedRealEstateTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_CarryingAmountsandEstimatedFairValueofFinancialInstrumentsTable" roleURI="http://thebankofgreenecounty.com/role/CarryingAmountsandEstimatedFairValueofFinancialInstrumentsTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_CompliancewithRegulatoryCapitalRequirementsunderBankingRegulationsTable" roleURI="http://thebankofgreenecounty.com/role/CompliancewithRegulatoryCapitalRequirementsunderBankingRegulationsTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_CondensedStatementsofFinancialConditionTable" roleURI="http://thebankofgreenecounty.com/role/CondensedStatementsofFinancialConditionTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_CondensedStatementsofIncomeTable" roleURI="http://thebankofgreenecounty.com/role/CondensedStatementsofIncomeTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_CondensedStatementsofCashFlowsTable" roleURI="http://thebankofgreenecounty.com/role/CondensedStatementsofCashFlowsTable"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_LoansandAllowanceforCreditLossesonLoansDetailsFinancialEffectofModificationsMadetoBorrowersExperiencingFinancialDifficulty" roleURI="http://thebankofgreenecounty.com/role/LoansandAllowanceforCreditLossesonLoansDetailsFinancialEffectofModificationsMadetoBorrowersExperiencingFinancialDifficulty"/>
  <roleRef xlink:type="simple" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#CybersecurityRiskManagementAndStrategyDisclosure" roleURI="http://xbrl.sec.gov/cyd/role/CybersecurityRiskManagementAndStrategyDisclosure"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_SummaryofsignificantaccountingpoliciesDetails" roleURI="http://thebankofgreenecounty.com/role/SummaryofsignificantaccountingpoliciesDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_BalancesatOtherBanksDetails" roleURI="http://thebankofgreenecounty.com/role/BalancesatOtherBanksDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_SecuritiesDetails" roleURI="http://thebankofgreenecounty.com/role/SecuritiesDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_LoansandAllowanceforCreditLossesonLoansDetails" roleURI="http://thebankofgreenecounty.com/role/LoansandAllowanceforCreditLossesonLoansDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_PremisesandEquipmentDetails" roleURI="http://thebankofgreenecounty.com/role/PremisesandEquipmentDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_DepositsDetails" roleURI="http://thebankofgreenecounty.com/role/DepositsDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_BorrowingsDetails" roleURI="http://thebankofgreenecounty.com/role/BorrowingsDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_EmployeeBenefitPlansDetails" roleURI="http://thebankofgreenecounty.com/role/EmployeeBenefitPlansDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_StockBasedCompensationDetails" roleURI="http://thebankofgreenecounty.com/role/StockBasedCompensationDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_EarningsPerShareDetails" roleURI="http://thebankofgreenecounty.com/role/EarningsPerShareDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_IncomeTaxesDetails" roleURI="http://thebankofgreenecounty.com/role/IncomeTaxesDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_CommitmentsandContingentLiabilitiesDetails" roleURI="http://thebankofgreenecounty.com/role/CommitmentsandContingentLiabilitiesDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_DerivativeInstrumentsDetails" roleURI="http://thebankofgreenecounty.com/role/DerivativeInstrumentsDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_OperatingLeasesDetails" roleURI="http://thebankofgreenecounty.com/role/OperatingLeasesDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_FairValueMeasurementsandFairValueofFinancialInstrumentsDetails" roleURI="http://thebankofgreenecounty.com/role/FairValueMeasurementsandFairValueofFinancialInstrumentsDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_RegulatoryMattersDetails" roleURI="http://thebankofgreenecounty.com/role/RegulatoryMattersDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#gcbc_r_SubsequenteventsDetails" roleURI="http://thebankofgreenecounty.com/role/SubsequenteventsDetails"/>
  <roleRef xlink:type="simple" xlink:href="gcbc-20260630.xsd#DocumentAndEntityInformation" roleURI="http://thebankofgreenecounty.com/role/DocumentAndEntityInformation"/>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/ConsolidatedBalanceSheet" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_StatementOfFinancialPositionAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementOfFinancialPositionAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CashAndDueFromBanks" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndDueFromBanks"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_CashAndDueFromBanks" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestBearingDepositsInBanks" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestBearingDepositsInBanks"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_InterestBearingDepositsInBanks" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CashCashEquivalentsAndFederalFundsSold" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashCashEquivalentsAndFederalFundsSold"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_CashCashEquivalentsAndFederalFundsSold" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CertificatesOfDepositAtCarryingValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CertificatesOfDepositAtCarryingValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_CertificatesOfDepositAtCarryingValue" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtSecurities" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalHomeLoanBankStock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FederalHomeLoanBankStock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_FederalHomeLoanBankStock" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NotesReceivableGross" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NotesReceivableGross"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_NotesReceivableGross" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLosses" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableAllowanceForCreditLosses"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_FinancingReceivableAllowanceForCreditLosses" order="9.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NotesReceivableNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NotesReceivableNet"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_NotesReceivableNet" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_PropertyPlantAndEquipmentNet" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BankOwnedLifeInsurance" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BankOwnedLifeInsurance"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_BankOwnedLifeInsurance" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestReceivable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestReceivable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_InterestReceivable" order="13.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PrepaidExpenseAndOtherAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PrepaidExpenseAndOtherAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_PrepaidExpenseAndOtherAssets" order="14.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_Assets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Assets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_Assets" order="15.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilitiesAndStockholdersEquityAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_LiabilitiesAndStockholdersEquityAbstract" order="16.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NoninterestBearingDepositLiabilitiesDomestic" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NoninterestBearingDepositLiabilitiesDomestic"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:to="us-gaap_NoninterestBearingDepositLiabilitiesDomestic" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestBearingDepositLiabilitiesDomestic" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestBearingDepositLiabilitiesDomestic"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:to="us-gaap_InterestBearingDepositLiabilitiesDomestic" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_Deposits" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Deposits"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:to="us-gaap_Deposits" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalHomeLoanBankAdvancesMaturitiesSummaryDueWithinOneYearOfBalanceSheetDate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FederalHomeLoanBankAdvancesMaturitiesSummaryDueWithinOneYearOfBalanceSheetDate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:to="us-gaap_FederalHomeLoanBankAdvancesMaturitiesSummaryDueWithinOneYearOfBalanceSheetDate" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalHomeLoanBankAdvancesLongTerm" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FederalHomeLoanBankAdvancesLongTerm"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:to="us-gaap_FederalHomeLoanBankAdvancesLongTerm" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SubordinatedDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubordinatedDebt"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:to="us-gaap_SubordinatedDebt" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccruedLiabilitiesAndOtherLiabilities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:to="us-gaap_AccruedLiabilitiesAndOtherLiabilities" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_Liabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Liabilities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:to="us-gaap_Liabilities" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockholdersEquityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquityAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_StockholdersEquityAbstract" order="17.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PreferredStockValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PreferredStockValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StockholdersEquityAbstract" xlink:to="us-gaap_PreferredStockValue" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StockholdersEquityAbstract" xlink:to="us-gaap_CommonStockValue" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdditionalPaidInCapital" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdditionalPaidInCapital"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StockholdersEquityAbstract" xlink:to="us-gaap_AdditionalPaidInCapital" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StockholdersEquityAbstract" xlink:to="us-gaap_RetainedEarningsAccumulatedDeficit" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StockholdersEquityAbstract" xlink:to="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TreasuryStockCommonValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TreasuryStockCommonValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StockholdersEquityAbstract" xlink:to="us-gaap_TreasuryStockCommonValue" order="5.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockholdersEquity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StockholdersEquityAbstract" xlink:to="us-gaap_StockholdersEquity" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StockholdersEquityAbstract" xlink:to="us-gaap_LiabilitiesAndStockholdersEquity" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/ConsolidatedBalanceSheet_Parentheticals" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_StatementOfFinancialPositionAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementOfFinancialPositionAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PreferredStockSharesAuthorized" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PreferredStockSharesAuthorized"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_PreferredStockSharesAuthorized" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PreferredStockSharesIssued" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PreferredStockSharesIssued"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_PreferredStockSharesIssued" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockParOrStatedValuePerShare"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_CommonStockParOrStatedValuePerShare" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockSharesAuthorized" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockSharesAuthorized"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_CommonStockSharesAuthorized" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockSharesIssued" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockSharesIssued"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_CommonStockSharesIssued" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockSharesOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockSharesOutstanding"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_CommonStockSharesOutstanding" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TreasuryStockCommonShares" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TreasuryStockCommonShares"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_TreasuryStockCommonShares" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/ConsolidatedIncomeStatement" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeStatementAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeStatementAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestAndDividendIncomeOperatingAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestAndDividendIncomeOperatingAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_InterestAndDividendIncomeOperatingAbstract" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestAndFeeIncomeLoansAndLeases" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestAndFeeIncomeLoansAndLeases"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InterestAndDividendIncomeOperatingAbstract" xlink:to="us-gaap_InterestAndFeeIncomeLoansAndLeases" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestIncomeSecuritiesTaxExempt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeSecuritiesTaxExempt"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InterestAndDividendIncomeOperatingAbstract" xlink:to="us-gaap_InterestIncomeSecuritiesTaxExempt" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestIncomeSecuritiesTaxable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeSecuritiesTaxable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InterestAndDividendIncomeOperatingAbstract" xlink:to="us-gaap_InterestIncomeSecuritiesTaxable" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="InterestBearingDepositsAndFederalFundsSold" xlink:href="gcbc-20260630.xsd#gcbc_InterestBearingDepositsAndFederalFundsSold"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InterestAndDividendIncomeOperatingAbstract" xlink:to="InterestBearingDepositsAndFederalFundsSold" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestAndDividendIncomeOperating" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestAndDividendIncomeOperating"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_InterestAndDividendIncomeOperating" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestExpenseAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_InterestExpenseAbstract" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestExpenseDeposits" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseDeposits"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InterestExpenseAbstract" xlink:to="us-gaap_InterestExpenseDeposits" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestExpenseBorrowings" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseBorrowings"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InterestExpenseAbstract" xlink:to="us-gaap_InterestExpenseBorrowings" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestExpenseOperating" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseOperating"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_InterestExpenseOperating" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestIncomeExpenseNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeExpenseNet"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_InterestIncomeExpenseNet" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProvisionForLoanLeaseAndOtherLosses" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProvisionForLoanLeaseAndOtherLosses"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_ProvisionForLoanLeaseAndOtherLosses" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NoninterestIncomeAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NoninterestIncomeAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_NoninterestIncomeAbstract" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ServiceChargesOnDepositAccounts" xlink:href="gcbc-20260630.xsd#gcbc_ServiceChargesOnDepositAccounts"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestIncomeAbstract" xlink:to="ServiceChargesOnDepositAccounts" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DebitCardFees" xlink:href="gcbc-20260630.xsd#gcbc_DebitCardFees"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestIncomeAbstract" xlink:to="DebitCardFees" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentBankingAdvisoryBrokerageAndUnderwritingFeesAndCommissions" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentBankingAdvisoryBrokerageAndUnderwritingFeesAndCommissions"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestIncomeAbstract" xlink:to="us-gaap_InvestmentBankingAdvisoryBrokerageAndUnderwritingFeesAndCommissions" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ECommerceFees" xlink:href="gcbc-20260630.xsd#gcbc_ECommerceFees"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestIncomeAbstract" xlink:to="ECommerceFees" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BankOwnedLifeInsuranceIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BankOwnedLifeInsuranceIncome"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestIncomeAbstract" xlink:to="us-gaap_BankOwnedLifeInsuranceIncome" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestIncomeAbstract" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherOperatingIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherOperatingIncome"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestIncomeAbstract" xlink:to="us-gaap_OtherOperatingIncome" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NoninterestIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NoninterestIncome"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_NoninterestIncome" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NoninterestExpenseAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NoninterestExpenseAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_NoninterestExpenseAbstract" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LaborAndRelatedExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LaborAndRelatedExpense"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestExpenseAbstract" xlink:to="us-gaap_LaborAndRelatedExpense" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OccupancyNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OccupancyNet"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestExpenseAbstract" xlink:to="us-gaap_OccupancyNet" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EquipmentExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquipmentExpense"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestExpenseAbstract" xlink:to="us-gaap_EquipmentExpense" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InformationTechnologyAndDataProcessing" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InformationTechnologyAndDataProcessing"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestExpenseAbstract" xlink:to="us-gaap_InformationTechnologyAndDataProcessing" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ComputerSoftwareSuppliesAndSupport" xlink:href="gcbc-20260630.xsd#gcbc_ComputerSoftwareSuppliesAndSupport"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestExpenseAbstract" xlink:to="ComputerSoftwareSuppliesAndSupport" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdvertisingExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdvertisingExpense"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestExpenseAbstract" xlink:to="us-gaap_AdvertisingExpense" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalDepositInsuranceCorporationPremiumExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FederalDepositInsuranceCorporationPremiumExpense"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestExpenseAbstract" xlink:to="us-gaap_FederalDepositInsuranceCorporationPremiumExpense" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProfessionalFees" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProfessionalFees"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestExpenseAbstract" xlink:to="us-gaap_ProfessionalFees" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherNoninterestExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherNoninterestExpense"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NoninterestExpenseAbstract" xlink:to="us-gaap_OtherNoninterestExpense" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NoninterestExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NoninterestExpense"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_NoninterestExpense" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_IncomeTaxExpenseBenefit" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetIncomeLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_NetIncomeLoss" order="13.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareBasic" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareBasic"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_EarningsPerShareBasic" order="14.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" order="15.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareDiluted" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareDiluted"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_EarningsPerShareDiluted" order="16.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" order="17.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockDividendsPerShareDeclared" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockDividendsPerShareDeclared"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_CommonStockDividendsPerShareDeclared" order="18.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/ConsolidatedComprehensiveIncome" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetIncomeLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_NetIncomeLoss" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax" order="4.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax" order="5.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax" order="6.0" preferredLabel="http://www.xbrl.org/2009/role/negatedTotalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansNetUnamortizedGainLossArisingDuringPeriodBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansNetUnamortizedGainLossArisingDuringPeriodBeforeTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansNetUnamortizedGainLossArisingDuringPeriodBeforeTax" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansNetUnamortizedGainLossArisingDuringPeriodTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansNetUnamortizedGainLossArisingDuringPeriodTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansNetUnamortizedGainLossArisingDuringPeriodTax" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansNetUnamortizedGainLossArisingDuringPeriodNetOfTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansNetUnamortizedGainLossArisingDuringPeriodNetOfTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansNetUnamortizedGainLossArisingDuringPeriodNetOfTax" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossBeforeTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossBeforeTax" order="10.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossTax" order="11.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossNetOfTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossNetOfTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossNetOfTax" order="12.0" preferredLabel="http://www.xbrl.org/2009/role/negatedTotalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossFinalizationOfPensionAndNonPensionPostretirementPlanValuationBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossFinalizationOfPensionAndNonPensionPostretirementPlanValuationBeforeTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeLossFinalizationOfPensionAndNonPensionPostretirementPlanValuationBeforeTax" order="13.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeFinalizationOfPensionAndNonPensionPostretirementPlanValuationTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeFinalizationOfPensionAndNonPensionPostretirementPlanValuationTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeFinalizationOfPensionAndNonPensionPostretirementPlanValuationTax" order="14.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossFinalizationOfPensionAndNonPensionPostretirementPlanValuationNetOfTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossFinalizationOfPensionAndNonPensionPostretirementPlanValuationNetOfTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeLossFinalizationOfPensionAndNonPensionPostretirementPlanValuationNetOfTax" order="15.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent" order="16.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ComprehensiveIncomeNetOfTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract" xlink:to="us-gaap_ComprehensiveIncomeNetOfTax" order="17.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/ShareholdersEquityType2or3" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_StatementOfStockholdersEquityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementOfStockholdersEquityAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StatementTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfStockholdersEquityAbstract" xlink:to="us-gaap_StatementTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StatementEquityComponentsAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementEquityComponentsAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementTable" xlink:to="us-gaap_StatementEquityComponentsAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementEquityComponentsAxis" xlink:to="us-gaap_CommonStockMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdditionalPaidInCapitalMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdditionalPaidInCapitalMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementEquityComponentsAxis" xlink:to="us-gaap_AdditionalPaidInCapitalMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RetainedEarningsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RetainedEarningsMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementEquityComponentsAxis" xlink:to="us-gaap_RetainedEarningsMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementEquityComponentsAxis" xlink:to="us-gaap_AccumulatedOtherComprehensiveIncomeMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TreasuryStockCommonMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TreasuryStockCommonMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementEquityComponentsAxis" xlink:to="us-gaap_TreasuryStockCommonMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EquityComponentDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquityComponentDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementEquityComponentsAxis" xlink:to="us-gaap_EquityComponentDomain" order="5.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StatementLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementTable" xlink:to="us-gaap_StatementLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockholdersEquity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementLineItems" xlink:to="us-gaap_StockholdersEquity" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TreasuryStockValueAcquiredCostMethod" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TreasuryStockValueAcquiredCostMethod"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementLineItems" xlink:to="us-gaap_TreasuryStockValueAcquiredCostMethod" order="1.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DividendsCommonStock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsCommonStock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementLineItems" xlink:to="us-gaap_DividendsCommonStock" order="2.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetIncomeLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementLineItems" xlink:to="us-gaap_NetIncomeLoss" order="3.0" preferredLabel="http://www.xbrl.org/2009/role/netLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementLineItems" xlink:to="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockholdersEquity_0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementLineItems" xlink:to="us-gaap_StockholdersEquity_0" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/ConsolidatedCashFlow" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_StatementOfCashFlowsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementOfCashFlowsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfCashFlowsAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetIncomeLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_NetIncomeLoss" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DepreciationNonproduction" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DepreciationNonproduction"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_DepreciationNonproduction" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredIncomeTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_DeferredIncomeTaxExpenseBenefit" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" order="2.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AmortizationOfDeferredLoanOriginationFeesNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AmortizationOfDeferredLoanOriginationFeesNet"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_AmortizationOfDeferredLoanOriginationFeesNet" order="3.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AmortizationOfFinancingCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AmortizationOfFinancingCosts"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_AmortizationOfFinancingCosts" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProvisionForLoanLeaseAndOtherLosses" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProvisionForLoanLeaseAndOtherLosses"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_ProvisionForLoanLeaseAndOtherLosses" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BankOwnedLifeInsuranceIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BankOwnedLifeInsuranceIncome"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_BankOwnedLifeInsuranceIncome" order="6.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss" order="7.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EquitySecuritiesFvNiGainLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquitySecuritiesFvNiGainLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_EquitySecuritiesFvNiGainLoss" order="8.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInInterestAndDividendsReceivable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInInterestAndDividendsReceivable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_IncreaseDecreaseInInterestAndDividendsReceivable" order="10.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" order="11.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccountsPayable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_IncreaseDecreaseInAccountsPayable" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncreaseDecreaseInAccountsPayable" xlink:to="us-gaap_NetCashProvidedByUsedInOperatingActivities" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfCashFlowsAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="SecuritiesAvailableForSaleAbstract" xlink:href="gcbc-20260630.xsd#gcbc_SecuritiesAvailableForSaleAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:to="SecuritiesAvailableForSaleAbstract" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="SecuritiesAvailableForSaleAbstract" xlink:to="us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="SecuritiesAvailableForSaleAbstract" xlink:to="us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="SecuritiesAvailableForSaleAbstract" xlink:to="us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt" order="2.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="SecuritiesAvailableForSalePrincipalPaymentsOnSecurities" xlink:href="gcbc-20260630.xsd#gcbc_SecuritiesAvailableForSalePrincipalPaymentsOnSecurities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="SecuritiesAvailableForSaleAbstract" xlink:to="SecuritiesAvailableForSalePrincipalPaymentsOnSecurities" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="SecuritiesHeldToMaturityAbstract" xlink:href="gcbc-20260630.xsd#gcbc_SecuritiesHeldToMaturityAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:to="SecuritiesHeldToMaturityAbstract" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromSaleAndMaturityOfHeldToMaturitySecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromSaleAndMaturityOfHeldToMaturitySecurities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="SecuritiesHeldToMaturityAbstract" xlink:to="us-gaap_ProceedsFromSaleAndMaturityOfHeldToMaturitySecurities" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsToAcquireHeldToMaturitySecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsToAcquireHeldToMaturitySecurities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="SecuritiesHeldToMaturityAbstract" xlink:to="us-gaap_PaymentsToAcquireHeldToMaturitySecurities" order="1.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="SecuritiesHeldToMaturitiesPrincipalPaymentsOnSecurities" xlink:href="gcbc-20260630.xsd#gcbc_SecuritiesHeldToMaturitiesPrincipalPaymentsOnSecurities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="SecuritiesHeldToMaturityAbstract" xlink:to="SecuritiesHeldToMaturitiesPrincipalPaymentsOnSecurities" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsForProceedsFromFederalHomeLoanBankStock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsForProceedsFromFederalHomeLoanBankStock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:to="us-gaap_PaymentsForProceedsFromFederalHomeLoanBankStock" order="2.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="ProceedsFromMaturitiesOfLongTermCertificatesOfDeposit" xlink:href="gcbc-20260630.xsd#gcbc_ProceedsFromMaturitiesOfLongTermCertificatesOfDeposit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:to="ProceedsFromMaturitiesOfLongTermCertificatesOfDeposit" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsToAcquireLifeInsurancePolicies" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsToAcquireLifeInsurancePolicies"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:to="us-gaap_PaymentsToAcquireLifeInsurancePolicies" order="4.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsForProceedsFromLoansAndLeases" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsForProceedsFromLoansAndLeases"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:to="us-gaap_PaymentsForProceedsFromLoansAndLeases" order="5.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:to="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment" order="6.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment" xlink:to="us-gaap_NetCashProvidedByUsedInInvestingActivities" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfCashFlowsAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ProceedsFromPaymentsOfShortTermFHLBankBorrowingsFinancingActivities" xlink:href="gcbc-20260630.xsd#gcbc_ProceedsFromPaymentsOfShortTermFHLBankBorrowingsFinancingActivities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="ProceedsFromPaymentsOfShortTermFHLBankBorrowingsFinancingActivities" order="0.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromIssuanceOfLongTermDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromIssuanceOfLongTermDebt"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_ProceedsFromIssuanceOfLongTermDebt" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RepaymentsOfOtherLongTermDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RepaymentsOfOtherLongTermDebt"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_RepaymentsOfOtherLongTermDebt" order="2.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RepaymentsOfSubordinatedDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RepaymentsOfSubordinatedDebt"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_RepaymentsOfSubordinatedDebt" order="3.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsForRepurchaseOfCommonStock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_PaymentsForRepurchaseOfCommonStock" order="4.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsOfDividends" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsOfDividends"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_PaymentsOfDividends" order="5.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInDeposits" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInDeposits"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_IncreaseDecreaseInDeposits" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncreaseDecreaseInDeposits" xlink:to="us-gaap_NetCashProvidedByUsedInFinancingActivities" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfCashFlowsAbstract" xlink:to="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfCashFlowsAbstract" xlink:to="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfCashFlowsAbstract" xlink:to="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_0" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SupplementalCashFlowInformationAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementOfCashFlowsAbstract" xlink:to="us-gaap_SupplementalCashFlowInformationAbstract" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestPaidNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestPaidNet"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SupplementalCashFlowInformationAbstract" xlink:to="us-gaap_InterestPaidNet" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxesPaid" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxesPaid"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SupplementalCashFlowInformationAbstract" xlink:to="us-gaap_IncomeTaxesPaid" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/Summaryofsignificantaccountingpolicies" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccountingPoliciesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountingPoliciesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SignificantAccountingPoliciesTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_SignificantAccountingPoliciesTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/BalancesatOtherBanks" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CashAndCashEquivalentsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CashAndCashEquivalentsDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsDisclosureTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CashAndCashEquivalentsAbstract" xlink:to="us-gaap_CashAndCashEquivalentsDisclosureTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/Securities" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsInDebtAndMarketableEquitySecuritiesAndCertainTradingAssetsDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsInDebtAndMarketableEquitySecuritiesAndCertainTradingAssetsDisclosureTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="us-gaap_InvestmentsInDebtAndMarketableEquitySecuritiesAndCertainTradingAssetsDisclosureTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/LoansandAllowanceforCreditLossesonLoans" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LoansNotesTradeAndOtherReceivablesDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LoansNotesTradeAndOtherReceivablesDisclosureTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="us-gaap_LoansNotesTradeAndOtherReceivablesDisclosureTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/PremisesandEquipment" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentDisclosureTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentAbstract" xlink:to="us-gaap_PropertyPlantAndEquipmentDisclosureTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/Deposits" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DepositsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DepositsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DepositLiabilitiesDisclosuresTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DepositLiabilitiesDisclosuresTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_DepositLiabilitiesDisclosuresTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/Borrowings" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DebtDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtDisclosureTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtDisclosureAbstract" xlink:to="us-gaap_DebtDisclosureTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/AccumulatedOtherComprehensiveLoss" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTaxAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTaxAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ComprehensiveIncomeNoteTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ComprehensiveIncomeNoteTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTaxAbstract" xlink:to="us-gaap_ComprehensiveIncomeNoteTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/EmployeeBenefitPlans" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CompensationAndRetirementDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PensionAndOtherPostretirementBenefitsDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PensionAndOtherPostretirementBenefitsDisclosureTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_PensionAndOtherPostretirementBenefitsDisclosureTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/StockBasedCompensation" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:to="us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/EarningsPerShare" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_EarningsPerShareAbstract" xlink:to="us-gaap_EarningsPerShareTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/IncomeTaxes" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxDisclosureTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_IncomeTaxDisclosureTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/CommitmentsandContingentLiabilities" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommitmentsAndContingenciesDisclosureTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:to="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/VariableInterestEntities" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_VariableInterestEntityNotPrimaryBeneficiaryDisclosuresAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_VariableInterestEntityNotPrimaryBeneficiaryDisclosuresAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfVariableInterestEntitiesTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfVariableInterestEntitiesTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_VariableInterestEntityNotPrimaryBeneficiaryDisclosuresAbstract" xlink:to="us-gaap_ScheduleOfVariableInterestEntitiesTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/DerivativeInstruments" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:to="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/OperatingLeases" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_LeasesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LeasesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeasesTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LesseeOperatingLeasesTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_LesseeOperatingLeasesTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/ConcentrationsofCreditRisk" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_ConcentrationRisksTypesNoConcentrationPercentageAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConcentrationRisksTypesNoConcentrationPercentageAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ConcentrationRiskDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConcentrationRiskDisclosureTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ConcentrationRisksTypesNoConcentrationPercentageAbstract" xlink:to="us-gaap_ConcentrationRiskDisclosureTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/FairValueMeasurementsandFairValueofFinancialInstruments" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueDisclosuresAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueDisclosuresTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueDisclosuresTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueDisclosuresAbstract" xlink:to="us-gaap_FairValueDisclosuresTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/RegulatoryMatters" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="srt_RegulatoryCapitalRequirementsAbstract" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RegulatoryCapitalRequirementsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RegulatoryCapitalRequirementsUnderBankingRegulationsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RegulatoryCapitalRequirementsUnderBankingRegulationsTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RegulatoryCapitalRequirementsAbstract" xlink:to="us-gaap_RegulatoryCapitalRequirementsUnderBankingRegulationsTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/CondensedFinancialStatementsofGreeneCountyBancorpInc" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CondensedFinancialInformationOfParentCompanyOnlyDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CondensedFinancialInformationOfParentCompanyOnlyDisclosureTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract" xlink:to="us-gaap_CondensedFinancialInformationOfParentCompanyOnlyDisclosureTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/Subsequentevents" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_SubsequentEventsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SubsequentEventsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventsTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SubsequentEventsAbstract" xlink:to="us-gaap_SubsequentEventsTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/AccountingPoliciesByPolicy" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccountingPoliciesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountingPoliciesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BasisOfAccountingPolicyPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_BasisOfAccountingPolicyPolicyTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="NatureOfOperationsPolicyTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_NatureOfOperationsPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="NatureOfOperationsPolicyTextBlock" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="CharterPolicyTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_CharterPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="CharterPolicyTextBlock" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SegmentReportingPolicyPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SegmentReportingPolicyPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_SegmentReportingPolicyPolicyTextBlock" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_CashAndCashEquivalentsPolicyTextBlock" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MarketableSecuritiesPolicy" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MarketableSecuritiesPolicy"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_MarketableSecuritiesPolicy" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="LoansAndLeasesReceivableAllowanceForCreditLossesOnSecuritiesHeldToMaturityPolicyTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_LoansAndLeasesReceivableAllowanceForCreditLossesOnSecuritiesHeldToMaturityPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="LoansAndLeasesReceivableAllowanceForCreditLossesOnSecuritiesHeldToMaturityPolicyTextBlock" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="LoansAndLeasesReceivableAllowanceForCreditLossesOnSecuritiesAvailableForSalePolicyTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_LoansAndLeasesReceivableAllowanceForCreditLossesOnSecuritiesAvailableForSalePolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="LoansAndLeasesReceivableAllowanceForCreditLossesOnSecuritiesAvailableForSalePolicyTextBlock" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinanceLoansAndLeasesReceivablePolicy" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinanceLoansAndLeasesReceivablePolicy"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_FinanceLoansAndLeasesReceivablePolicy" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="LoansAndLeasesReceivableNonaccrualLoanAndLeasesStatusPolicy" xlink:href="gcbc-20260630.xsd#gcbc_LoansAndLeasesReceivableNonaccrualLoanAndLeasesStatusPolicy"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="LoansAndLeasesReceivableNonaccrualLoanAndLeasesStatusPolicy" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="LoanModificationsToBorrowersExperiencingFinancialDifficultyPolicyTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_LoanModificationsToBorrowersExperiencingFinancialDifficultyPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="LoanModificationsToBorrowersExperiencingFinancialDifficultyPolicyTextBlock" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="LoansAndLeaseReceivableAllowanceForLoanLossesPolicy" xlink:href="gcbc-20260630.xsd#gcbc_LoansAndLeaseReceivableAllowanceForLoanLossesPolicy"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="LoansAndLeaseReceivableAllowanceForLoanLossesPolicy" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="LoansAndLeasesReceivableAllowanceForCreditLossesOnUnfundedCommitmentsPolicyTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_LoansAndLeasesReceivableAllowanceForCreditLossesOnUnfundedCommitmentsPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="LoansAndLeasesReceivableAllowanceForCreditLossesOnUnfundedCommitmentsPolicyTextBlock" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="AccruedInterestReceivablePolicyTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_AccruedInterestReceivablePolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="AccruedInterestReceivablePolicyTextBlock" order="13.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LoansAndLeasesReceivableRealEstateAcquiredThroughForeclosurePolicy" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LoansAndLeasesReceivableRealEstateAcquiredThroughForeclosurePolicy"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_LoansAndLeasesReceivableRealEstateAcquiredThroughForeclosurePolicy" order="14.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock" order="15.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LesseeLeasesPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LesseeLeasesPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_LesseeLeasesPolicyTextBlock" order="16.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="BankOwnedLifeInsurancePolicyTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_BankOwnedLifeInsurancePolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="BankOwnedLifeInsurancePolicyTextBlock" order="17.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockholdersEquityPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquityPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_StockholdersEquityPolicyTextBlock" order="18.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FederalHomeLoanBankStockPolicyPolicyTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_FederalHomeLoanBankStockPolicyPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="FederalHomeLoanBankStockPolicyPolicyTextBlock" order="19.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RevenueFromContractWithCustomerPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RevenueFromContractWithCustomerPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_RevenueFromContractWithCustomerPolicyTextBlock" order="20.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdvertisingCostsPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdvertisingCostsPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_AdvertisingCostsPolicyTextBlock" order="21.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativesPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativesPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_DerivativesPolicyTextBlock" order="22.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OffBalanceSheetCreditExposurePolicyPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OffBalanceSheetCreditExposurePolicyPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_OffBalanceSheetCreditExposurePolicyPolicyTextBlock" order="23.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_IncomeTaxPolicyTextBlock" order="24.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerSharePolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerSharePolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_EarningsPerSharePolicyTextBlock" order="25.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ComprehensiveIncomePolicyPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ComprehensiveIncomePolicyPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_ComprehensiveIncomePolicyPolicyTextBlock" order="26.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock" order="27.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/SecuritiesTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleTableTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="us-gaap_HeldToMaturitySecuritiesTextBlock" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTableTextBlock" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="SecuritiesContinuousUnrealizedLossPositionTableTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_SecuritiesContinuousUnrealizedLossPositionTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="SecuritiesContinuousUnrealizedLossPositionTableTextBlock" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsClassifiedByContractualMaturityDateTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsClassifiedByContractualMaturityDateTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="us-gaap_InvestmentsClassifiedByContractualMaturityDateTableTextBlock" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/LoansandAllowanceforCreditLossesonLoansTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PastDueFinancingReceivablesTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PastDueFinancingReceivablesTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="us-gaap_PastDueFinancingReceivablesTableTextBlock" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AllowanceForCreditLossesOnFinancingReceivablesTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AllowanceForCreditLossesOnFinancingReceivablesTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="us-gaap_AllowanceForCreditLossesOnFinancingReceivablesTableTextBlock" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableCreditQualityIndicatorsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableCreditQualityIndicatorsTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="us-gaap_FinancingReceivableCreditQualityIndicatorsTableTextBlock" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FinancingReceivablesLoansModifiedToBorrowersExperiencingFinancialDifficultyByTypeOfConcessionGrantedTableTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_FinancingReceivablesLoansModifiedToBorrowersExperiencingFinancialDifficultyByTypeOfConcessionGrantedTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="FinancingReceivablesLoansModifiedToBorrowersExperiencingFinancialDifficultyByTypeOfConcessionGrantedTableTextBlock" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FinancialEffectOfModificationsMadeToBorrowersExperiencingFinancialDifficultyTableTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_FinancialEffectOfModificationsMadeToBorrowersExperiencingFinancialDifficultyTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="FinancialEffectOfModificationsMadeToBorrowersExperiencingFinancialDifficultyTableTextBlock" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FinancingReceivablesLoansModifiedToBorrowersExperiencingFinancialDifficultyTableTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_FinancingReceivablesLoansModifiedToBorrowersExperiencingFinancialDifficultyTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="FinancingReceivablesLoansModifiedToBorrowersExperiencingFinancialDifficultyTableTextBlock" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/PremisesandEquipmentTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentAbstract" xlink:to="us-gaap_PropertyPlantAndEquipmentTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/DepositsTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DepositsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DepositsAbstract"/>
    <loc xlink:type="locator" xlink:label="ScheduleOfDepositsTableTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_ScheduleOfDepositsTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="ScheduleOfDepositsTableTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ScheduleOfDepositsByTimeRemainingOnMaturityTableTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_ScheduleOfDepositsByTimeRemainingOnMaturityTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="ScheduleOfDepositsByTimeRemainingOnMaturityTableTextBlock" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ScheduleOfCertificatesOfDepositsByYearOfMaturityTableTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_ScheduleOfCertificatesOfDepositsByYearOfMaturityTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="ScheduleOfCertificatesOfDepositsByYearOfMaturityTableTextBlock" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/AccumulatedOtherComprehensiveLossTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTaxAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTaxAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfAccumulatedOtherComprehensiveIncomeLossTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfAccumulatedOtherComprehensiveIncomeLossTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTaxAbstract" xlink:to="us-gaap_ScheduleOfAccumulatedOtherComprehensiveIncomeLossTableTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/EmployeeBenefitPlansTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CompensationAndRetirementDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfNetBenefitCostsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfNetBenefitCostsTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_ScheduleOfNetBenefitCostsTableTextBlock" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfAmountsRecognizedInOtherComprehensiveIncomeLossTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfAmountsRecognizedInOtherComprehensiveIncomeLossTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_ScheduleOfAmountsRecognizedInOtherComprehensiveIncomeLossTableTextBlock" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfAmountsRecognizedInBalanceSheetTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfAmountsRecognizedInBalanceSheetTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_ScheduleOfAmountsRecognizedInBalanceSheetTableTextBlock" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfAssumptionsUsedTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfAssumptionsUsedTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_ScheduleOfAssumptionsUsedTableTextBlock" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfAllocationOfPlanAssetsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfAllocationOfPlanAssetsTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_ScheduleOfAllocationOfPlanAssetsTableTextBlock" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/StockBasedCompensationTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract"/>
    <loc xlink:type="locator" xlink:label="ScheduleOfPhantomStockOptionsActivityTableTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_ScheduleOfPhantomStockOptionsActivityTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:to="ScheduleOfPhantomStockOptionsActivityTableTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/EarningsPerShareTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_EarningsPerShareAbstract" xlink:to="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/IncomeTaxesTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfCashFlowSupplementalDisclosuresTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfCashFlowSupplementalDisclosuresTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_ScheduleOfCashFlowSupplementalDisclosuresTableTextBlock" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/CommitmentsandContingentLiabilitiesTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="UnfundedLoanCommitmentsTableTextBlock" xlink:href="gcbc-20260630.xsd#gcbc_UnfundedLoanCommitmentsTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:to="UnfundedLoanCommitmentsTableTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/VariableInterestEntitiesTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_VariableInterestEntityNotPrimaryBeneficiaryDisclosuresAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_VariableInterestEntityNotPrimaryBeneficiaryDisclosuresAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfDisposalGroupsIncludingDiscontinuedOperationsIncomeStatementBalanceSheetAndAdditionalDisclosuresTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfDisposalGroupsIncludingDiscontinuedOperationsIncomeStatementBalanceSheetAndAdditionalDisclosuresTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_VariableInterestEntityNotPrimaryBeneficiaryDisclosuresAbstract" xlink:to="us-gaap_ScheduleOfDisposalGroupsIncludingDiscontinuedOperationsIncomeStatementBalanceSheetAndAdditionalDisclosuresTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/DerivativeInstrumentsTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfDerivativeInstrumentsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfDerivativeInstrumentsTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:to="us-gaap_ScheduleOfDerivativeInstrumentsTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/OperatingLeasesTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_LeasesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LeasesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LeaseCostTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LeaseCostTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_LeaseCostTableTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/FairValueMeasurementsandFairValueofFinancialInstrumentsTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueDisclosuresAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueDisclosuresAbstract" xlink:to="us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueAssetsMeasuredOnNonrecurringBasisTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsMeasuredOnNonrecurringBasisTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueDisclosuresAbstract" xlink:to="us-gaap_FairValueAssetsMeasuredOnNonrecurringBasisTextBlock" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueByBalanceSheetGroupingTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByBalanceSheetGroupingTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueDisclosuresAbstract" xlink:to="us-gaap_FairValueByBalanceSheetGroupingTextBlock" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/RegulatoryMattersTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="srt_RegulatoryCapitalRequirementsAbstract" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RegulatoryCapitalRequirementsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RegulatoryCapitalRequirementsAbstract" xlink:to="us-gaap_ScheduleOfComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/CondensedFinancialStatementsofGreeneCountyBancorpIncTables" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="srt_ScheduleOfCondensedBalanceSheetTableTextBlock" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ScheduleOfCondensedBalanceSheetTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract" xlink:to="srt_ScheduleOfCondensedBalanceSheetTableTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_ScheduleOfCondensedIncomeStatementTableTextBlock" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ScheduleOfCondensedIncomeStatementTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract" xlink:to="srt_ScheduleOfCondensedIncomeStatementTableTextBlock" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_ScheduleOfCondensedCashFlowStatementTableTextBlock" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ScheduleOfCondensedCashFlowStatementTableTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract" xlink:to="srt_ScheduleOfCondensedCashFlowStatementTableTextBlock" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/AmortizedCostandFairValueofSecuritiesAvailableforSaleTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MarketableSecuritiesTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MarketableSecuritiesTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="us-gaap_MarketableSecuritiesTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancialInstrumentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialInstrumentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesTable" xlink:to="us-gaap_FinancialInstrumentAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USTreasurySecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_USTreasurySecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_USTreasurySecuritiesMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USStatesAndPoliticalSubdivisionsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_USStatesAndPoliticalSubdivisionsMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_USStatesAndPoliticalSubdivisionsMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ResidentialMortgageBackedSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ResidentialMortgageBackedSecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_ResidentialMortgageBackedSecuritiesMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="MortgageBackedSecuritiesMultiFamilyMember" xlink:href="gcbc-20260630.xsd#gcbc_MortgageBackedSecuritiesMultiFamilyMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="MortgageBackedSecuritiesMultiFamilyMember" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CorporateDebtSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CorporateDebtSecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_CorporateDebtSecuritiesMember" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MarketableSecuritiesLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MarketableSecuritiesLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesTable" xlink:to="us-gaap_MarketableSecuritiesLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtSecurities" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleAccruedInterestAfterAllowanceForCreditLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleAccruedInterestAfterAllowanceForCreditLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleAccruedInterestAfterAllowanceForCreditLoss" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleAccruedInterestAfterAllowanceForCreditLoss_0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleAccruedInterestAfterAllowanceForCreditLoss"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList_0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/AmortizedCostandFairValueandAllowanceforCreditLossonSecuritiesHeldtoMaturityTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfHeldToMaturitySecuritiesTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfHeldToMaturitySecuritiesTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="us-gaap_ScheduleOfHeldToMaturitySecuritiesTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancialInstrumentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialInstrumentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesTable" xlink:to="us-gaap_FinancialInstrumentAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USTreasurySecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_USTreasurySecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_USTreasurySecuritiesMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USStatesAndPoliticalSubdivisionsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_USStatesAndPoliticalSubdivisionsMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_USStatesAndPoliticalSubdivisionsMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ResidentialMortgageBackedSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ResidentialMortgageBackedSecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_ResidentialMortgageBackedSecuritiesMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="MortgageBackedSecuritiesMultiFamilyMember" xlink:href="gcbc-20260630.xsd#gcbc_MortgageBackedSecuritiesMultiFamilyMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="MortgageBackedSecuritiesMultiFamilyMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CorporateDebtSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CorporateDebtSecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_CorporateDebtSecuritiesMember" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherDebtSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherDebtSecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_OtherDebtSecuritiesMember" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesTable" xlink:to="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecurities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" xlink:to="us-gaap_HeldToMaturitySecurities" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingGain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingGain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" xlink:to="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingGain" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" xlink:to="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" xlink:to="us-gaap_HeldToMaturitySecuritiesFairValue" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAccruedInterestAfterAllowanceForCreditLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAccruedInterestAfterAllowanceForCreditLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAccruedInterestAfterAllowanceForCreditLoss" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAccruedInterestAfterAllowanceForCreditLoss_0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAccruedInterestAfterAllowanceForCreditLoss"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList_0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/AllowanceforCreditLossesonSecuritiesHeldtoMaturityTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfHeldToMaturitySecuritiesTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfHeldToMaturitySecuritiesTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="us-gaap_ScheduleOfHeldToMaturitySecuritiesTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_StatementScenarioAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_StatementScenarioAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesTable" xlink:to="srt_StatementScenarioAxis" order="1.0"/>
    <loc xlink:type="locator" xlink:label="srt_ScenarioUnspecifiedDomain" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ScenarioUnspecifiedDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_StatementScenarioAxis" xlink:to="srt_ScenarioUnspecifiedDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesTable" xlink:to="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityCreditLossExpenseReversal" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityCreditLossExpenseReversal"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityCreditLossExpenseReversal" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss_0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfHeldToMaturitySecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss_0" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/SecuritiesinContinuousUnrealizedLossPositionTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MarketableSecuritiesTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MarketableSecuritiesTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="us-gaap_MarketableSecuritiesTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancialInstrumentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialInstrumentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesTable" xlink:to="us-gaap_FinancialInstrumentAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USTreasurySecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_USTreasurySecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_USTreasurySecuritiesMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USStatesAndPoliticalSubdivisionsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_USStatesAndPoliticalSubdivisionsMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_USStatesAndPoliticalSubdivisionsMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ResidentialMortgageBackedSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ResidentialMortgageBackedSecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_ResidentialMortgageBackedSecuritiesMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="MortgageBackedSecuritiesMultiFamilyMember" xlink:href="gcbc-20260630.xsd#gcbc_MortgageBackedSecuritiesMultiFamilyMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="MortgageBackedSecuritiesMultiFamilyMember" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CorporateDebtSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CorporateDebtSecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_CorporateDebtSecuritiesMember" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MarketableSecuritiesLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MarketableSecuritiesLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesTable" xlink:to="us-gaap_MarketableSecuritiesLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionQualitativeDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionQualitativeDisclosureAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionQualitativeDisclosureAbstract" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionQualitativeDisclosureAbstract" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionQualitativeDisclosureAbstract" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsNumberOfPositions" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsNumberOfPositions"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionQualitativeDisclosureAbstract" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsNumberOfPositions" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionQualitativeDisclosureAbstract" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionQualitativeDisclosureAbstract" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerNumberOfPositions" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerNumberOfPositions"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionQualitativeDisclosureAbstract" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerNumberOfPositions" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionQualitativeDisclosureAbstract" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionQualitativeDisclosureAbstract" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionNumberOfPositions" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionNumberOfPositions"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionQualitativeDisclosureAbstract" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionNumberOfPositions" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAbstract" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DebtSecuritiesHeldToMaturityContinuousUnrealizedLossPositionsLessThan12MonthsFairValue" xlink:href="gcbc-20260630.xsd#gcbc_DebtSecuritiesHeldToMaturityContinuousUnrealizedLossPositionsLessThan12MonthsFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAbstract" xlink:to="DebtSecuritiesHeldToMaturityContinuousUnrealizedLossPositionsLessThan12MonthsFairValue" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DebtSecuritiesHeldToMaturityContinuousUnrealizedLossPositionsLessThan12MonthsAccumulatedLoss" xlink:href="gcbc-20260630.xsd#gcbc_DebtSecuritiesHeldToMaturityContinuousUnrealizedLossPositionsLessThan12MonthsAccumulatedLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAbstract" xlink:to="DebtSecuritiesHeldToMaturityContinuousUnrealizedLossPositionsLessThan12MonthsAccumulatedLoss" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="HeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositionsLessThanOneYear" xlink:href="gcbc-20260630.xsd#gcbc_HeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositionsLessThanOneYear"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAbstract" xlink:to="HeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositionsLessThanOneYear" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DebtSecuritiesHeldToMaturityContinuousUnrealizedLossPositions12MonthsOrLongerFairValue" xlink:href="gcbc-20260630.xsd#gcbc_DebtSecuritiesHeldToMaturityContinuousUnrealizedLossPositions12MonthsOrLongerFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAbstract" xlink:to="DebtSecuritiesHeldToMaturityContinuousUnrealizedLossPositions12MonthsOrLongerFairValue" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DebtSecuritiesHeldToMaturityContinuousUnrealizedLossPositions12MonthsOrLongerAccumulatedLoss" xlink:href="gcbc-20260630.xsd#gcbc_DebtSecuritiesHeldToMaturityContinuousUnrealizedLossPositions12MonthsOrLongerAccumulatedLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAbstract" xlink:to="DebtSecuritiesHeldToMaturityContinuousUnrealizedLossPositions12MonthsOrLongerAccumulatedLoss" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="HeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositionsGreaterThanOrEqualToOneYear" xlink:href="gcbc-20260630.xsd#gcbc_HeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositionsGreaterThanOrEqualToOneYear"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAbstract" xlink:to="HeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositionsGreaterThanOrEqualToOneYear" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DebtSecuritiesHeldToMaturityUnrealizedLossPositionsFairValue" xlink:href="gcbc-20260630.xsd#gcbc_DebtSecuritiesHeldToMaturityUnrealizedLossPositionsFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAbstract" xlink:to="DebtSecuritiesHeldToMaturityUnrealizedLossPositionsFairValue" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAbstract" xlink:to="us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="HeldToMaturitySecuritiesInUnrealizedLossesPositionsQualitativeDisclosureNumberOfSecurityPositions" xlink:href="gcbc-20260630.xsd#gcbc_HeldToMaturitySecuritiesInUnrealizedLossesPositionsQualitativeDisclosureNumberOfSecurityPositions"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAbstract" xlink:to="HeldToMaturitySecuritiesInUnrealizedLossesPositionsQualitativeDisclosureNumberOfSecurityPositions" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="SecuritiesContinuousUnrealizedLossPositionLessThanTwelveMonthsFairValue" xlink:href="gcbc-20260630.xsd#gcbc_SecuritiesContinuousUnrealizedLossPositionLessThanTwelveMonthsFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="SecuritiesContinuousUnrealizedLossPositionLessThanTwelveMonthsFairValue" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="SecuritiesContinuousUnrealizedLossPositionAccumulatedLoss" xlink:href="gcbc-20260630.xsd#gcbc_SecuritiesContinuousUnrealizedLossPositionAccumulatedLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="SecuritiesContinuousUnrealizedLossPositionAccumulatedLoss" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="NumberOfSecuritiesUnrealizedLossPositionLessThanTwelveMonths" xlink:href="gcbc-20260630.xsd#gcbc_NumberOfSecuritiesUnrealizedLossPositionLessThanTwelveMonths"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="NumberOfSecuritiesUnrealizedLossPositionLessThanTwelveMonths" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="SecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue" xlink:href="gcbc-20260630.xsd#gcbc_SecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="SecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="SecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss" xlink:href="gcbc-20260630.xsd#gcbc_SecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="SecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="NumberOfSecuritiesUnrealizedLossPositionTwelveMonthsOrLonger" xlink:href="gcbc-20260630.xsd#gcbc_NumberOfSecuritiesUnrealizedLossPositionTwelveMonthsOrLonger"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="NumberOfSecuritiesUnrealizedLossPositionTwelveMonthsOrLonger" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="SecuritiesContinuousUnrealizedLossPositionsFairValue" xlink:href="gcbc-20260630.xsd#gcbc_SecuritiesContinuousUnrealizedLossPositionsFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="SecuritiesContinuousUnrealizedLossPositionsFairValue" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="SecuritiesContinuousUnrealizedLossPositionsAccumulatedLoss" xlink:href="gcbc-20260630.xsd#gcbc_SecuritiesContinuousUnrealizedLossPositionsAccumulatedLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="SecuritiesContinuousUnrealizedLossPositionsAccumulatedLoss" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="NumberOfSecuritiesUnrealizedLossPosition" xlink:href="gcbc-20260630.xsd#gcbc_NumberOfSecuritiesUnrealizedLossPosition"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="NumberOfSecuritiesUnrealizedLossPosition" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/InvestmentsClassifiedbyContractualMaturityDateTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MarketableSecuritiesTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MarketableSecuritiesTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="us-gaap_MarketableSecuritiesTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_StatementScenarioAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_StatementScenarioAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesTable" xlink:to="srt_StatementScenarioAxis" order="1.0"/>
    <loc xlink:type="locator" xlink:label="srt_ScenarioUnspecifiedDomain" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ScenarioUnspecifiedDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_StatementScenarioAxis" xlink:to="srt_ScenarioUnspecifiedDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MarketableSecuritiesLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MarketableSecuritiesLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesTable" xlink:to="us-gaap_MarketableSecuritiesLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtSecurities" order="13.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesFairValueAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesFairValueAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesFairValueAbstract" order="14.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesFairValueAbstract" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesFairValueAbstract" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesFairValueAbstract" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesFairValueAbstract" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsNetCarryingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsNetCarryingAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesFairValueAbstract" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsNetCarryingAmount" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesFairValueAbstract" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesFairValueAbstract" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesFairValueAbstract" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesFairValueAbstract" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesFairValueAbstract" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateFairValue" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateNetCarryingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateNetCarryingAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateNetCarryingAmount" order="15.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue" order="16.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecurities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_HeldToMaturitySecurities" order="17.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HeldToMaturitySecuritiesFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HeldToMaturitySecuritiesFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_HeldToMaturitySecuritiesFairValue" order="18.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleAndHeldToMaturityAmortizedCostBeforeAllowanceForCreditLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleAndHeldToMaturityAmortizedCostBeforeAllowanceForCreditLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleAndHeldToMaturityAmortizedCostBeforeAllowanceForCreditLoss" order="19.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleAndHeldToMaturityFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleAndHeldToMaturityFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleAndHeldToMaturityFairValue" order="20.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/MajorLoanSegmentsandClassesTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LoansAndLeasesReceivableDisclosureTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LoansAndLeasesReceivableDisclosureTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="us-gaap_LoansAndLeasesReceivableDisclosureTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoansAndLeasesReceivableDisclosureTable" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ResidentialMortgageMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ResidentialMortgageMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_ResidentialMortgageMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RealEstateLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealEstateLoanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_RealEstateLoanMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HomeEquityLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HomeEquityLoanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_HomeEquityLoanMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ConsumerLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConsumerLoanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_ConsumerLoanMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoansAndLeasesReceivableDisclosureTable" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ResidentialPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ResidentialPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_ResidentialPortfolioSegmentMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommercialRealEstatePortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommercialRealEstatePortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_CommercialRealEstatePortfolioSegmentMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ConsumerPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConsumerPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_ConsumerPortfolioSegmentMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommercialPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommercialPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_CommercialPortfolioSegmentMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LoansAndLeasesReceivableDisclosureLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LoansAndLeasesReceivableDisclosureLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoansAndLeasesReceivableDisclosureTable" xlink:to="us-gaap_LoansAndLeasesReceivableDisclosureLineItems" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NotesReceivableGross" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NotesReceivableGross"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoansAndLeasesReceivableDisclosureLineItems" xlink:to="us-gaap_NotesReceivableGross" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLosses" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableAllowanceForCreditLosses"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoansAndLeasesReceivableDisclosureLineItems" xlink:to="us-gaap_FinancingReceivableAllowanceForCreditLosses" order="1.0" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NotesReceivableNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NotesReceivableNet"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoansAndLeasesReceivableDisclosureLineItems" xlink:to="us-gaap_NotesReceivableNet" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="UnamortizedLoanCommitmentsAndOriginationFeesAndUnamortizedDiscountsOrPremiums" xlink:href="gcbc-20260630.xsd#gcbc_UnamortizedLoanCommitmentsAndOriginationFeesAndUnamortizedDiscountsOrPremiums"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoansAndLeasesReceivableDisclosureLineItems" xlink:to="UnamortizedLoanCommitmentsAndOriginationFeesAndUnamortizedDiscountsOrPremiums" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableAccruedInterestAfterAllowanceForCreditLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableAccruedInterestAfterAllowanceForCreditLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoansAndLeasesReceivableDisclosureLineItems" xlink:to="us-gaap_FinancingReceivableAccruedInterestAfterAllowanceForCreditLoss" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoansAndLeasesReceivableDisclosureLineItems" xlink:to="us-gaap_FinancingReceivableAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/DelinquentandNonaccrualLoansbyPastDueStatusTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfFinancingReceivablesPastDueTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfFinancingReceivablesPastDueTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="us-gaap_ScheduleOfFinancingReceivablesPastDueTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablesPeriodPastDueAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablesPeriodPastDueAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivablesPastDueTable" xlink:to="us-gaap_FinancingReceivablesPeriodPastDueAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablesPeriodPastDueDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablesPeriodPastDueDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablesPeriodPastDueAxis" xlink:to="us-gaap_FinancingReceivablesPeriodPastDueDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivables30To59DaysPastDueMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivables30To59DaysPastDueMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablesPeriodPastDueAxis" xlink:to="us-gaap_FinancingReceivables30To59DaysPastDueMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivables60To89DaysPastDueMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivables60To89DaysPastDueMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablesPeriodPastDueAxis" xlink:to="us-gaap_FinancingReceivables60To89DaysPastDueMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablesEqualToGreaterThan90DaysPastDueMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablesEqualToGreaterThan90DaysPastDueMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablesPeriodPastDueAxis" xlink:to="us-gaap_FinancingReceivablesEqualToGreaterThan90DaysPastDueMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancialAssetPastDueMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialAssetPastDueMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablesPeriodPastDueAxis" xlink:to="us-gaap_FinancialAssetPastDueMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancialAssetNotPastDueMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialAssetNotPastDueMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablesPeriodPastDueAxis" xlink:to="us-gaap_FinancialAssetNotPastDueMember" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivablesPastDueTable" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ResidentialMortgageMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ResidentialMortgageMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_ResidentialMortgageMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RealEstateLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealEstateLoanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_RealEstateLoanMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HomeEquityLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HomeEquityLoanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_HomeEquityLoanMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ConsumerLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConsumerLoanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_ConsumerLoanMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivablesPastDueTable" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentAxis" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ResidentialPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ResidentialPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_ResidentialPortfolioSegmentMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommercialRealEstatePortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommercialRealEstatePortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_CommercialRealEstatePortfolioSegmentMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ConsumerPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConsumerPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_ConsumerPortfolioSegmentMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommercialPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommercialPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_CommercialPortfolioSegmentMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivablesPastDueTable" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NotesReceivableGross" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NotesReceivableGross"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems" xlink:to="us-gaap_NotesReceivableGross" order="0.0" preferredLabel="http://www.xbrl.org/2009/role/netLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentNonaccrualStatus" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentNonaccrualStatus"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentNonaccrualStatus" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/ActivityandAllocationofAllowanceforLoanLossesTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfFinancingReceivableAllowanceForCreditLossesTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfFinancingReceivableAllowanceForCreditLossesTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="us-gaap_ScheduleOfFinancingReceivableAllowanceForCreditLossesTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivableAllowanceForCreditLossesTable" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ResidentialMortgageMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ResidentialMortgageMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_ResidentialMortgageMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RealEstateLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealEstateLoanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_RealEstateLoanMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HomeEquityLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HomeEquityLoanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_HomeEquityLoanMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ConsumerLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConsumerLoanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_ConsumerLoanMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivableAllowanceForCreditLossesTable" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ResidentialPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ResidentialPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_ResidentialPortfolioSegmentMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommercialRealEstatePortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommercialRealEstatePortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_CommercialRealEstatePortfolioSegmentMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ConsumerPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConsumerPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_ConsumerPortfolioSegmentMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommercialPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommercialPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_CommercialPortfolioSegmentMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableAllowanceForCreditLossesLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivableAllowanceForCreditLossesTable" xlink:to="us-gaap_FinancingReceivableAllowanceForCreditLossesLineItems" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLosses" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableAllowanceForCreditLosses"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableAllowanceForCreditLossesLineItems" xlink:to="us-gaap_FinancingReceivableAllowanceForCreditLosses" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableAllowanceForCreditLossesLineItems" xlink:to="us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs" order="1.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesRecovery" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableAllowanceForCreditLossesRecovery"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableAllowanceForCreditLossesLineItems" xlink:to="us-gaap_FinancingReceivableAllowanceForCreditLossesRecovery" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProvisionForLoanLossesExpensed" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProvisionForLoanLossesExpensed"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableAllowanceForCreditLossesLineItems" xlink:to="us-gaap_ProvisionForLoanLossesExpensed" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLosses_0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableAllowanceForCreditLosses"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableAllowanceForCreditLossesLineItems" xlink:to="us-gaap_FinancingReceivableAllowanceForCreditLosses_0" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/LoanBalancesbyInternalCreditQualityIndicatorTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfFinancingReceivableRecordedInvestmentCreditQualityIndicatorTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfFinancingReceivableRecordedInvestmentCreditQualityIndicatorTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="us-gaap_ScheduleOfFinancingReceivableRecordedInvestmentCreditQualityIndicatorTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancialInstrumentPerformanceStatusAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialInstrumentPerformanceStatusAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivableRecordedInvestmentCreditQualityIndicatorTable" xlink:to="us-gaap_FinancialInstrumentPerformanceStatusAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancialInstrumentPerformanceStatusDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialInstrumentPerformanceStatusDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentPerformanceStatusAxis" xlink:to="us-gaap_FinancialInstrumentPerformanceStatusDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PerformingFinancingReceivableMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PerformingFinancingReceivableMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentPerformanceStatusAxis" xlink:to="us-gaap_PerformingFinancingReceivableMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NonperformingFinancingReceivableMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NonperformingFinancingReceivableMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentPerformanceStatusAxis" xlink:to="us-gaap_NonperformingFinancingReceivableMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivableRecordedInvestmentCreditQualityIndicatorTable" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ResidentialMortgageMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ResidentialMortgageMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_ResidentialMortgageMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RealEstateLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealEstateLoanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_RealEstateLoanMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HomeEquityLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HomeEquityLoanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_HomeEquityLoanMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ConsumerLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConsumerLoanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_ConsumerLoanMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivableRecordedInvestmentCreditQualityIndicatorTable" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentAxis" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ResidentialPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ResidentialPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_ResidentialPortfolioSegmentMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommercialRealEstatePortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommercialRealEstatePortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_CommercialRealEstatePortfolioSegmentMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ConsumerPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConsumerPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_ConsumerPortfolioSegmentMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommercialPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommercialPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_CommercialPortfolioSegmentMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InternalCreditAssessmentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InternalCreditAssessmentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivableRecordedInvestmentCreditQualityIndicatorTable" xlink:to="us-gaap_InternalCreditAssessmentAxis" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InternalCreditAssessmentDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InternalCreditAssessmentDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InternalCreditAssessmentAxis" xlink:to="us-gaap_InternalCreditAssessmentDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PassMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PassMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InternalCreditAssessmentAxis" xlink:to="us-gaap_PassMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SpecialMentionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SpecialMentionMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InternalCreditAssessmentAxis" xlink:to="us-gaap_SpecialMentionMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SubstandardMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubstandardMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InternalCreditAssessmentAxis" xlink:to="us-gaap_SubstandardMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivableRecordedInvestmentCreditQualityIndicatorTable" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentLineItems" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableOriginatedInCurrentFiscalYear" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableOriginatedInCurrentFiscalYear"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableOriginatedInCurrentFiscalYear" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableOriginatedInFiscalYearBeforeLatestFiscalYear" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableOriginatedInFiscalYearBeforeLatestFiscalYear"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableOriginatedInFiscalYearBeforeLatestFiscalYear" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableOriginatedTwoYearsBeforeLatestFiscalYear" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableOriginatedTwoYearsBeforeLatestFiscalYear"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableOriginatedTwoYearsBeforeLatestFiscalYear" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableOriginatedThreeYearsBeforeLatestFiscalYear" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableOriginatedThreeYearsBeforeLatestFiscalYear"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableOriginatedThreeYearsBeforeLatestFiscalYear" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableOriginatedFourYearsBeforeLatestFiscalYear" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableOriginatedFourYearsBeforeLatestFiscalYear"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableOriginatedFourYearsBeforeLatestFiscalYear" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRevolving" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRevolving"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableRevolving" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRevolvingConvertedToTermLoan" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRevolvingConvertedToTermLoan"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableRevolvingConvertedToTermLoan" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NotesReceivableGross" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NotesReceivableGross"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_NotesReceivableGross" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableYearOneOriginatedCurrentFiscalYearWriteoff" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableYearOneOriginatedCurrentFiscalYearWriteoff"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableYearOneOriginatedCurrentFiscalYearWriteoff" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableYearTwoOriginatedFiscalYearBeforeCurrentFiscalYearWriteoff" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableYearTwoOriginatedFiscalYearBeforeCurrentFiscalYearWriteoff"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableYearTwoOriginatedFiscalYearBeforeCurrentFiscalYearWriteoff" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableYearThreeOriginatedTwoYearsBeforeCurrentFiscalYearWriteoff" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableYearThreeOriginatedTwoYearsBeforeCurrentFiscalYearWriteoff"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableYearThreeOriginatedTwoYearsBeforeCurrentFiscalYearWriteoff" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableYearFourOriginatedThreeYearsBeforeCurrentFiscalYearWriteoff" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableYearFourOriginatedThreeYearsBeforeCurrentFiscalYearWriteoff"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableYearFourOriginatedThreeYearsBeforeCurrentFiscalYearWriteoff" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableYearFiveOriginatedFourYearsBeforeCurrentFiscalYearWriteoff" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableYearFiveOriginatedFourYearsBeforeCurrentFiscalYearWriteoff"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableYearFiveOriginatedFourYearsBeforeCurrentFiscalYearWriteoff" order="13.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableOriginatedMoreThanFiveYearsBeforeCurrentFiscalYearWriteoff" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableOriginatedMoreThanFiveYearsBeforeCurrentFiscalYearWriteoff"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableOriginatedMoreThanFiveYearsBeforeCurrentFiscalYearWriteoff" order="14.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRevolvingWriteoff" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRevolvingWriteoff"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableRevolvingWriteoff" order="15.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRevolvingConvertedToTermLoanWriteoff" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRevolvingConvertedToTermLoanWriteoff"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableRevolvingConvertedToTermLoanWriteoff" order="16.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentLineItems" xlink:to="us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs" order="17.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/LoansModifiedtoBorrowersExperiencingFinancialDifficultybytypeofConcessionGrantedTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfFinancingReceivableRecordedInvestmentCreditQualityIndicatorTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfFinancingReceivableRecordedInvestmentCreditQualityIndicatorTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="us-gaap_ScheduleOfFinancingReceivableRecordedInvestmentCreditQualityIndicatorTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivableRecordedInvestmentCreditQualityIndicatorTable" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommercialPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommercialPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_CommercialPortfolioSegmentMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LoanRestructuringModificationAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LoanRestructuringModificationAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivableRecordedInvestmentCreditQualityIndicatorTable" xlink:to="us-gaap_LoanRestructuringModificationAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentDeferralMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentDeferralMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoanRestructuringModificationAxis" xlink:to="us-gaap_PaymentDeferralMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ExtendedMaturityMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ExtendedMaturityMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoanRestructuringModificationAxis" xlink:to="us-gaap_ExtendedMaturityMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ContractualInterestRateReductionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ContractualInterestRateReductionMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoanRestructuringModificationAxis" xlink:to="us-gaap_ContractualInterestRateReductionMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ExtendedMaturityAndInterestRateReductionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ExtendedMaturityAndInterestRateReductionMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoanRestructuringModificationAxis" xlink:to="us-gaap_ExtendedMaturityAndInterestRateReductionMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableModificationsLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableModificationsLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivableRecordedInvestmentCreditQualityIndicatorTable" xlink:to="us-gaap_FinancingReceivableModificationsLineItems" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableModificationsPostModificationRecordedInvestment2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableModificationsPostModificationRecordedInvestment2"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableModificationsLineItems" xlink:to="us-gaap_FinancingReceivableModificationsPostModificationRecordedInvestment2" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableModificationToTotalFinancingReceivablesPercent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableModificationToTotalFinancingReceivablesPercent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableModificationsLineItems" xlink:to="us-gaap_FinancingReceivableModificationToTotalFinancingReceivablesPercent" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/LoansModifiedtoBorrowersExperiencingFinancialDifficultyTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfImpairedFinancingReceivableTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfImpairedFinancingReceivableTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="us-gaap_ScheduleOfImpairedFinancingReceivableTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablesPeriodPastDueAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablesPeriodPastDueAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfImpairedFinancingReceivableTable" xlink:to="us-gaap_FinancingReceivablesPeriodPastDueAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablesPeriodPastDueDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablesPeriodPastDueDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablesPeriodPastDueAxis" xlink:to="us-gaap_FinancingReceivablesPeriodPastDueDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancialAssetPastDueMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialAssetPastDueMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablesPeriodPastDueAxis" xlink:to="us-gaap_FinancialAssetPastDueMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivables30To59DaysPastDueMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivables30To59DaysPastDueMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablesPeriodPastDueAxis" xlink:to="us-gaap_FinancingReceivables30To59DaysPastDueMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivables60To89DaysPastDueMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivables60To89DaysPastDueMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablesPeriodPastDueAxis" xlink:to="us-gaap_FinancingReceivables60To89DaysPastDueMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablesEqualToGreaterThan90DaysPastDueMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablesEqualToGreaterThan90DaysPastDueMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablesPeriodPastDueAxis" xlink:to="us-gaap_FinancingReceivablesEqualToGreaterThan90DaysPastDueMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfImpairedFinancingReceivableTable" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommercialRealEstatePortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommercialRealEstatePortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_CommercialRealEstatePortfolioSegmentMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableImpairedLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableImpairedLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfImpairedFinancingReceivableTable" xlink:to="us-gaap_FinancingReceivableImpairedLineItems" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableModificationsPostModificationRecordedInvestment2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableModificationsPostModificationRecordedInvestment2"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableImpairedLineItems" xlink:to="us-gaap_FinancingReceivableModificationsPostModificationRecordedInvestment2" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/PremisesandEquipmentTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfPropertyPlantAndEquipmentTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentAbstract" xlink:to="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentByTypeAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable" xlink:to="us-gaap_PropertyPlantAndEquipmentByTypeAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentTypeDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentByTypeAxis" xlink:to="us-gaap_PropertyPlantAndEquipmentTypeDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LandMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LandMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentByTypeAxis" xlink:to="us-gaap_LandMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BuildingAndBuildingImprovementsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BuildingAndBuildingImprovementsMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentByTypeAxis" xlink:to="us-gaap_BuildingAndBuildingImprovementsMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FurnitureAndFixturesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FurnitureAndFixturesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentByTypeAxis" xlink:to="us-gaap_FurnitureAndFixturesMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable" xlink:to="us-gaap_PropertyPlantAndEquipmentLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentGross" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentGross"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentLineItems" xlink:to="us-gaap_PropertyPlantAndEquipmentGross" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentLineItems" xlink:to="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment" order="1.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentLineItems" xlink:to="us-gaap_PropertyPlantAndEquipmentNet" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/MajorClassificationsofDepositsTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DepositsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DepositsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NoninterestBearingDepositLiabilitiesDomestic" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NoninterestBearingDepositLiabilitiesDomestic"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_NoninterestBearingDepositLiabilitiesDomestic" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestBearingDomesticDepositCertificatesOfDeposits" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestBearingDomesticDepositCertificatesOfDeposits"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_InterestBearingDomesticDepositCertificatesOfDeposits" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestBearingDomesticDepositSavings" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestBearingDomesticDepositSavings"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_InterestBearingDomesticDepositSavings" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestBearingDomesticDepositMoneyMarket" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestBearingDomesticDepositMoneyMarket"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_InterestBearingDomesticDepositMoneyMarket" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestBearingDomesticDepositNegotiableOrderOfWithdrawalNOW" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestBearingDomesticDepositNegotiableOrderOfWithdrawalNOW"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_InterestBearingDomesticDepositNegotiableOrderOfWithdrawalNOW" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_Deposits" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Deposits"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_Deposits" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/DepositsbyTimeRemainingonMaturityTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DepositsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DepositsAbstract"/>
    <loc xlink:type="locator" xlink:label="ContractualMaturitiesTimeDepositsLessThan250000ThreeMonthsOrLess" xlink:href="gcbc-20260630.xsd#gcbc_ContractualMaturitiesTimeDepositsLessThan250000ThreeMonthsOrLess"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="ContractualMaturitiesTimeDepositsLessThan250000ThreeMonthsOrLess" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ContractualMaturitiesTimeDepositsLessThan250000ThreeMonthsThroughSixMonths" xlink:href="gcbc-20260630.xsd#gcbc_ContractualMaturitiesTimeDepositsLessThan250000ThreeMonthsThroughSixMonths"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="ContractualMaturitiesTimeDepositsLessThan250000ThreeMonthsThroughSixMonths" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ContractualMaturitiesTimeDepositsLessThan250000SixMonthsThrough12Months" xlink:href="gcbc-20260630.xsd#gcbc_ContractualMaturitiesTimeDepositsLessThan250000SixMonthsThrough12Months"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="ContractualMaturitiesTimeDepositsLessThan250000SixMonthsThrough12Months" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ContractualMaturitiesTimeDepositsLessThan250000After12Months" xlink:href="gcbc-20260630.xsd#gcbc_ContractualMaturitiesTimeDepositsLessThan250000After12Months"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="ContractualMaturitiesTimeDepositsLessThan250000After12Months" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="TimeDepositsLessThan250000" xlink:href="gcbc-20260630.xsd#gcbc_TimeDepositsLessThan250000"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="TimeDepositsLessThan250000" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="ContractualMaturitiesTimeDeposits250000OrMoreThreeMonthsOrLess" xlink:href="gcbc-20260630.xsd#gcbc_ContractualMaturitiesTimeDeposits250000OrMoreThreeMonthsOrLess"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="ContractualMaturitiesTimeDeposits250000OrMoreThreeMonthsOrLess" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ContractualMaturitiesTimeDeposits250000OrMoreThreeMonthsThroughSixMonths" xlink:href="gcbc-20260630.xsd#gcbc_ContractualMaturitiesTimeDeposits250000OrMoreThreeMonthsThroughSixMonths"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="ContractualMaturitiesTimeDeposits250000OrMoreThreeMonthsThroughSixMonths" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ContractualMaturitiesTimeDeposits250000OrMore6MonthsThrough12Months" xlink:href="gcbc-20260630.xsd#gcbc_ContractualMaturitiesTimeDeposits250000OrMore6MonthsThrough12Months"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="ContractualMaturitiesTimeDeposits250000OrMore6MonthsThrough12Months" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ContractualMaturitiesTimeDeposits250000OrMoreAfter12Months" xlink:href="gcbc-20260630.xsd#gcbc_ContractualMaturitiesTimeDeposits250000OrMoreAfter12Months"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="ContractualMaturitiesTimeDeposits250000OrMoreAfter12Months" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="TimeDeposits250000OrMore" xlink:href="gcbc-20260630.xsd#gcbc_TimeDeposits250000OrMore"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="TimeDeposits250000OrMore" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="TimeDepositMaturitiesThreeMonthsOrLess" xlink:href="gcbc-20260630.xsd#gcbc_TimeDepositMaturitiesThreeMonthsOrLess"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="TimeDepositMaturitiesThreeMonthsOrLess" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="TimeDepositMaturitiesThreeMonthsThroughSixMonths" xlink:href="gcbc-20260630.xsd#gcbc_TimeDepositMaturitiesThreeMonthsThroughSixMonths"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="TimeDepositMaturitiesThreeMonthsThroughSixMonths" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="TimeDepositMaturitiesSixMonthsThrough12Months" xlink:href="gcbc-20260630.xsd#gcbc_TimeDepositMaturitiesSixMonthsThrough12Months"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="TimeDepositMaturitiesSixMonthsThrough12Months" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="TimeDepositMaturitiesAfter12Months" xlink:href="gcbc-20260630.xsd#gcbc_TimeDepositMaturitiesAfter12Months"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="TimeDepositMaturitiesAfter12Months" order="13.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TimeDeposits" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TimeDeposits"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_TimeDeposits" order="14.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/ScheduledMaturitiesofCertificatesofDepositTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DepositsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DepositsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TimeDepositMaturitiesYearOne" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TimeDepositMaturitiesYearOne"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_TimeDepositMaturitiesYearOne" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TimeDepositMaturitiesYearTwo" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TimeDepositMaturitiesYearTwo"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_TimeDepositMaturitiesYearTwo" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TimeDepositMaturitiesYearThree" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TimeDepositMaturitiesYearThree"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_TimeDepositMaturitiesYearThree" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TimeDepositMaturitiesYearFour" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TimeDepositMaturitiesYearFour"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_TimeDepositMaturitiesYearFour" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TimeDepositMaturitiesYearFive" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TimeDepositMaturitiesYearFive"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_TimeDepositMaturitiesYearFive" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TimeDeposits" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TimeDeposits"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_TimeDeposits" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/AccumulatedOtherComprehensiveLossTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTaxAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTaxAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTaxAbstract" xlink:to="us-gaap_AccumulatedOtherComprehensiveIncomeLossTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StatementEquityComponentsAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementEquityComponentsAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossTable" xlink:to="us-gaap_StatementEquityComponentsAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedNetUnrealizedInvestmentGainLossMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedNetUnrealizedInvestmentGainLossMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementEquityComponentsAxis" xlink:to="us-gaap_AccumulatedNetUnrealizedInvestmentGainLossMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedDefinedBenefitPlansAdjustmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedDefinedBenefitPlansAdjustmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementEquityComponentsAxis" xlink:to="us-gaap_AccumulatedDefinedBenefitPlansAdjustmentMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_StatementEquityComponentsAxis" xlink:to="us-gaap_AccumulatedOtherComprehensiveIncomeMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossTable" xlink:to="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockholdersEquity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" xlink:to="us-gaap_StockholdersEquity" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OciBeforeReclassificationsNetOfTaxAttributableToParent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OciBeforeReclassificationsNetOfTaxAttributableToParent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" xlink:to="us-gaap_OciBeforeReclassificationsNetOfTaxAttributableToParent" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" xlink:to="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax" order="2.0" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" xlink:to="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax" order="3.0" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" xlink:to="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax" order="4.0" preferredLabel="http://www.xbrl.org/2009/role/negatedTotalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossBeforeTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" xlink:to="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossBeforeTax" order="5.0" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" xlink:to="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossTax" order="6.0" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossNetOfTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossNetOfTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" xlink:to="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossNetOfTax" order="7.0" preferredLabel="http://www.xbrl.org/2009/role/negatedTotalLabel"/>
    <loc xlink:type="locator" xlink:label="OtherComprehensiveIncomeLossPensionTerminationSettlementChargeRecognizedInOtherExpenseBeforeTax" xlink:href="gcbc-20260630.xsd#gcbc_OtherComprehensiveIncomeLossPensionTerminationSettlementChargeRecognizedInOtherExpenseBeforeTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" xlink:to="OtherComprehensiveIncomeLossPensionTerminationSettlementChargeRecognizedInOtherExpenseBeforeTax" order="8.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="OtherComprehensiveIncomeLossPensionTerminationSettlementChargeRecognizedInOtherExpenseTax" xlink:href="gcbc-20260630.xsd#gcbc_OtherComprehensiveIncomeLossPensionTerminationSettlementChargeRecognizedInOtherExpenseTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" xlink:to="OtherComprehensiveIncomeLossPensionTerminationSettlementChargeRecognizedInOtherExpenseTax" order="9.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="OtherComprehensiveIncomeLossPensionTerminationSettlementChargeRecognizedInOtherExpenseNetOfTax" xlink:href="gcbc-20260630.xsd#gcbc_OtherComprehensiveIncomeLossPensionTerminationSettlementChargeRecognizedInOtherExpenseNetOfTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" xlink:to="OtherComprehensiveIncomeLossPensionTerminationSettlementChargeRecognizedInOtherExpenseNetOfTax" order="10.0" preferredLabel="http://www.xbrl.org/2009/role/negatedTotalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" xlink:to="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockholdersEquity_0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems" xlink:to="us-gaap_StockholdersEquity_0" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/InformationRegardingPensionPlanTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CompensationAndRetirementDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanBenefitObligation" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanBenefitObligation"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanBenefitObligation" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanInterestCost" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanInterestCost"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanInterestCost" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanActuarialGainLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanActuarialGainLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanActuarialGainLoss" order="2.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanBenefitObligationBenefitsPaid" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanBenefitObligationBenefitsPaid"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanBenefitObligationBenefitsPaid" order="3.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanBenefitObligation_0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanBenefitObligation"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanBenefitObligation_0" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanFairValueOfPlanAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanFairValueOfPlanAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanFairValueOfPlanAssets" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanActualReturnOnPlanAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanActualReturnOnPlanAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanActualReturnOnPlanAssets" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanContributionsByEmployer" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanContributionsByEmployer"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanContributionsByEmployer" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanPlanAssetsBenefitsPaid" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanPlanAssetsBenefitsPaid"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanPlanAssetsBenefitsPaid" order="8.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanAssetsTransferredToFromPlan" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanAssetsTransferredToFromPlan"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanAssetsTransferredToFromPlan" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanFairValueOfPlanAssets_0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanFairValueOfPlanAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanFairValueOfPlanAssets_0" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanFundedStatusOfPlan" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanFundedStatusOfPlan"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanFundedStatusOfPlan" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/ComponentsofNetPeriodicPensionCostsTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CompensationAndRetirementDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_StatementScenarioAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_StatementScenarioAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" xlink:to="srt_StatementScenarioAxis" order="1.0"/>
    <loc xlink:type="locator" xlink:label="srt_ScenarioUnspecifiedDomain" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ScenarioUnspecifiedDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_StatementScenarioAxis" xlink:to="srt_ScenarioUnspecifiedDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanDisclosureLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" xlink:to="us-gaap_DefinedBenefitPlanDisclosureLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanInterestCost" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanInterestCost"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanInterestCost" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanNetPeriodicBenefitCostCreditInterestCostStatementOfIncomeOrComprehensiveIncomeExtensibleList" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanNetPeriodicBenefitCostCreditInterestCostStatementOfIncomeOrComprehensiveIncomeExtensibleList"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanNetPeriodicBenefitCostCreditInterestCostStatementOfIncomeOrComprehensiveIncomeExtensibleList" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanExpectedReturnOnPlanAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanExpectedReturnOnPlanAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanExpectedReturnOnPlanAssets" order="2.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanNetPeriodicBenefitCostCreditExpectedReturnLossStatementOfIncomeOrComprehensiveIncomeExtensibleList" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanNetPeriodicBenefitCostCreditExpectedReturnLossStatementOfIncomeOrComprehensiveIncomeExtensibleList"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanNetPeriodicBenefitCostCreditExpectedReturnLossStatementOfIncomeOrComprehensiveIncomeExtensibleList" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanAmortizationOfGainsLosses" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanAmortizationOfGainsLosses"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanAmortizationOfGainsLosses" order="4.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanNetPeriodicBenefitCostCreditAmortizationOfGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleList" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanNetPeriodicBenefitCostCreditAmortizationOfGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleList"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanNetPeriodicBenefitCostCreditAmortizationOfGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleList" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlements1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlements1"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlements1" order="6.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanNetPeriodicBenefitCostCreditSettlementGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleList" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanNetPeriodicBenefitCostCreditSettlementGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleList"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanNetPeriodicBenefitCostCreditSettlementGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleList" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/AmountsRecognizedinOtherComprehensiveIncomeTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CompensationAndRetirementDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanAmountsRecognizedInOtherComprehensiveIncomeLossNetGainLossBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanAmountsRecognizedInOtherComprehensiveIncomeLossNetGainLossBeforeTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanAmountsRecognizedInOtherComprehensiveIncomeLossNetGainLossBeforeTax" order="0.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="DefinedBenefitPlanAmountsRecognizedInOtherComprehensiveIncomeLossDeferredTaxExpense" xlink:href="gcbc-20260630.xsd#gcbc_DefinedBenefitPlanAmountsRecognizedInOtherComprehensiveIncomeLossDeferredTaxExpense"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="DefinedBenefitPlanAmountsRecognizedInOtherComprehensiveIncomeLossDeferredTaxExpense" order="1.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/AmountsRecognizedinFinancialConditionTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CompensationAndRetirementDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanAmountsRecognizedInBalanceSheet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanAmountsRecognizedInBalanceSheet"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanAmountsRecognizedInBalanceSheet" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanAccumulatedOtherComprehensiveIncomeBeforeTaxAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanAccumulatedOtherComprehensiveIncomeBeforeTaxAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanAccumulatedOtherComprehensiveIncomeBeforeTaxAbstract" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossDefinedBenefitPensionAndOtherPostretirementPlansNetOfTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossDefinedBenefitPensionAndOtherPostretirementPlansNetOfTax"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanAccumulatedOtherComprehensiveIncomeBeforeTaxAbstract" xlink:to="us-gaap_AccumulatedOtherComprehensiveIncomeLossDefinedBenefitPensionAndOtherPostretirementPlansNetOfTax" order="0.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/AssumptionsUsedTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CompensationAndRetirementDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostDiscountRate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostDiscountRate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostDiscountRate" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanWeightedAverageAssumptionsUsedInCalculatingNetPeriodicBenefitCostAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanWeightedAverageAssumptionsUsedInCalculatingNetPeriodicBenefitCostAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_DefinedBenefitPlanWeightedAverageAssumptionsUsedInCalculatingNetPeriodicBenefitCostAbstract" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostAmortizationPeriod" xlink:href="gcbc-20260630.xsd#gcbc_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostAmortizationPeriod"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanWeightedAverageAssumptionsUsedInCalculatingNetPeriodicBenefitCostAbstract" xlink:to="DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostAmortizationPeriod" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingBenefitObligationDiscountRate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingBenefitObligationDiscountRate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanWeightedAverageAssumptionsUsedInCalculatingNetPeriodicBenefitCostAbstract" xlink:to="us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingBenefitObligationDiscountRate" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostExpectedLongTermReturnOnAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostExpectedLongTermReturnOnAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanWeightedAverageAssumptionsUsedInCalculatingNetPeriodicBenefitCostAbstract" xlink:to="us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostExpectedLongTermReturnOnAssets" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/AllocationofPlanAssetsTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CompensationAndRetirementDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" xlink:to="us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PlanAssetCategoriesDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PlanAssetCategoriesDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis" xlink:to="us-gaap_PlanAssetCategoriesDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MoneyMarketFundsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MoneyMarketFundsMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis" xlink:to="us-gaap_MoneyMarketFundsMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FixedIncomeFundsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FixedIncomeFundsMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis" xlink:to="us-gaap_FixedIncomeFundsMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanDisclosureLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" xlink:to="us-gaap_DefinedBenefitPlanDisclosureLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanFairValueOfPlanAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanFairValueOfPlanAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanFairValueOfPlanAssets" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/SummaryofPhantomStockOptionActivityandRelatedInformationTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:to="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PlanNameAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PlanNameAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable" xlink:to="us-gaap_PlanNameAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="PhantomStockOptionAndLongTermIncentivePlan2011Member" xlink:href="gcbc-20260630.xsd#gcbc_PhantomStockOptionAndLongTermIncentivePlan2011Member"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PlanNameAxis" xlink:to="PhantomStockOptionAndLongTermIncentivePlan2011Member" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod" order="2.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsPaidInCashUponVesting" xlink:href="gcbc-20260630.xsd#gcbc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsPaidInCashUponVesting"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:to="ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsPaidInCashUponVesting" order="3.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_0" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
    <loc xlink:type="locator" xlink:label="PaymentForStockOptionsVested" xlink:href="gcbc-20260630.xsd#gcbc_PaymentForStockOptionsVested"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:to="PaymentForStockOptionsVested" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AllocatedShareBasedCompensationExpense"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:to="us-gaap_AllocatedShareBasedCompensationExpense" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/EarningsPerShareTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetIncomeLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_EarningsPerShareAbstract" xlink:to="us-gaap_NetIncomeLoss" order="0.0" preferredLabel="http://www.xbrl.org/2009/role/netLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_EarningsPerShareAbstract" xlink:to="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_EarningsPerShareAbstract" xlink:to="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareBasic" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareBasic"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_EarningsPerShareAbstract" xlink:to="us-gaap_EarningsPerShareBasic" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareDiluted" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareDiluted"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_EarningsPerShareAbstract" xlink:to="us-gaap_EarningsPerShareDiluted" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/ProvisionforIncomeTaxesTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CurrentIncomeTaxExpenseBenefitContinuingOperationsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CurrentIncomeTaxExpenseBenefitContinuingOperationsAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_CurrentIncomeTaxExpenseBenefitContinuingOperationsAbstract" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CurrentFederalTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CurrentFederalTaxExpenseBenefit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CurrentIncomeTaxExpenseBenefitContinuingOperationsAbstract" xlink:to="us-gaap_CurrentFederalTaxExpenseBenefit" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CurrentStateAndLocalTaxExpenseBenefit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CurrentIncomeTaxExpenseBenefitContinuingOperationsAbstract" xlink:to="us-gaap_CurrentStateAndLocalTaxExpenseBenefit" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CurrentIncomeTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CurrentIncomeTaxExpenseBenefit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_CurrentIncomeTaxExpenseBenefit" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredIncomeTaxExpenseBenefitContinuingOperationsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredIncomeTaxExpenseBenefitContinuingOperationsAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_DeferredIncomeTaxExpenseBenefitContinuingOperationsAbstract" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredFederalIncomeTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredFederalIncomeTaxExpenseBenefit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredIncomeTaxExpenseBenefitContinuingOperationsAbstract" xlink:to="us-gaap_DeferredFederalIncomeTaxExpenseBenefit" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredIncomeTaxExpenseBenefitContinuingOperationsAbstract" xlink:to="us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredIncomeTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_DeferredIncomeTaxExpenseBenefit" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxExpenseBenefitContinuingOperationsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxExpenseBenefitContinuingOperationsAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_IncomeTaxExpenseBenefitContinuingOperationsAbstract" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalIncomeTaxExpenseBenefitContinuingOperations" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FederalIncomeTaxExpenseBenefitContinuingOperations"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxExpenseBenefitContinuingOperationsAbstract" xlink:to="us-gaap_FederalIncomeTaxExpenseBenefitContinuingOperations" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StateAndLocalIncomeTaxExpenseBenefitContinuingOperations" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StateAndLocalIncomeTaxExpenseBenefitContinuingOperations"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxExpenseBenefitContinuingOperationsAbstract" xlink:to="us-gaap_StateAndLocalIncomeTaxExpenseBenefitContinuingOperations" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_IncomeTaxExpenseBenefit" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/ReconcilestheStatutoryFederalIncomeTaxRatetotheEffectiveIncomeTaxRateTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TaxJurisdictionOfDomicileExtensibleEnumeration" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TaxJurisdictionOfDomicileExtensibleEnumeration"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_TaxJurisdictionOfDomicileExtensibleEnumeration" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="IncomeTaxReconciliationTaxCreditsNetOfAmortization" xlink:href="gcbc-20260630.xsd#gcbc_IncomeTaxReconciliationTaxCreditsNetOfAmortization"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="IncomeTaxReconciliationTaxCreditsNetOfAmortization" order="5.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="EffectiveIncomeTaxRateReconciliationTaxCreditNetOfAmortization" xlink:href="gcbc-20260630.xsd#gcbc_EffectiveIncomeTaxRateReconciliationTaxCreditNetOfAmortization"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="EffectiveIncomeTaxRateReconciliationTaxCreditNetOfAmortization" order="6.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="NontaxableOrNondeductibleItemsAbstract" xlink:href="gcbc-20260630.xsd#gcbc_NontaxableOrNondeductibleItemsAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="NontaxableOrNondeductibleItemsAbstract" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxReconciliationTaxExemptIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxReconciliationTaxExemptIncome"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="NontaxableOrNondeductibleItemsAbstract" xlink:to="us-gaap_IncomeTaxReconciliationTaxExemptIncome" order="0.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationTaxExemptIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationTaxExemptIncome"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="NontaxableOrNondeductibleItemsAbstract" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationTaxExemptIncome" order="1.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="IncomeTaxReconciliationNondeductibleExpenseLifeInsuranceIncreaseInSurrenderValue" xlink:href="gcbc-20260630.xsd#gcbc_IncomeTaxReconciliationNondeductibleExpenseLifeInsuranceIncreaseInSurrenderValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="NontaxableOrNondeductibleItemsAbstract" xlink:to="IncomeTaxReconciliationNondeductibleExpenseLifeInsuranceIncreaseInSurrenderValue" order="2.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="EffectiveIncomeTaxRateReconciliationNondeductibleExpenseIncreaseInSurrenderValueOfBankOwnedLifeInsurance" xlink:href="gcbc-20260630.xsd#gcbc_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseIncreaseInSurrenderValueOfBankOwnedLifeInsurance"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="NontaxableOrNondeductibleItemsAbstract" xlink:to="EffectiveIncomeTaxRateReconciliationNondeductibleExpenseIncreaseInSurrenderValueOfBankOwnedLifeInsurance" order="3.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxReconciliationOtherAdjustments" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxReconciliationOtherAdjustments"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="NontaxableOrNondeductibleItemsAbstract" xlink:to="us-gaap_IncomeTaxReconciliationOtherAdjustments" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="NontaxableOrNondeductibleItemsAbstract" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_IncomeTaxExpenseBenefit" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperations" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EffectiveIncomeTaxRateContinuingOperations"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_EffectiveIncomeTaxRateContinuingOperations" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/IncomeTaxesPaidNetofRefundsTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxPaidByIndividualJurisdictionTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxPaidByIndividualJurisdictionTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_IncomeTaxPaidByIndividualJurisdictionTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxAuthorityNameAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxAuthorityNameAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxPaidByIndividualJurisdictionTable" xlink:to="us-gaap_IncomeTaxAuthorityNameAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxAuthorityNameDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxAuthorityNameDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxAuthorityNameAxis" xlink:to="us-gaap_IncomeTaxAuthorityNameDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="stpr_NY" xlink:href="https://xbrl.sec.gov/stpr/2026/stpr-2026.xsd#stpr_NY"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxAuthorityNameAxis" xlink:to="stpr_NY" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="OtherStatesMember" xlink:href="gcbc-20260630.xsd#gcbc_OtherStatesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxAuthorityNameAxis" xlink:to="OtherStatesMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxPaidByIndividualJurisdictionLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxPaidByIndividualJurisdictionLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxPaidByIndividualJurisdictionTable" xlink:to="us-gaap_IncomeTaxPaidByIndividualJurisdictionLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxPaidFederalAfterRefundReceived" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxPaidFederalAfterRefundReceived"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxPaidByIndividualJurisdictionLineItems" xlink:to="us-gaap_IncomeTaxPaidFederalAfterRefundReceived" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxesPaidNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxesPaidNet"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxPaidByIndividualJurisdictionLineItems" xlink:to="us-gaap_IncomeTaxesPaidNet" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/DeferredTaxAssetsandLiabilitiesTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxAssetsGrossAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredTaxAssetsGrossAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_DeferredTaxAssetsGrossAbstract" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsProvisionForLoanLosses" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsProvisionForLoanLosses"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredTaxAssetsGrossAbstract" xlink:to="us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsProvisionForLoanLosses" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DeferredTaxAssetsAllowanceForCreditLossesOnUnfundedCommitments" xlink:href="gcbc-20260630.xsd#gcbc_DeferredTaxAssetsAllowanceForCreditLossesOnUnfundedCommitments"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredTaxAssetsGrossAbstract" xlink:to="DeferredTaxAssetsAllowanceForCreditLossesOnUnfundedCommitments" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxAssetsUnrealizedLossesOnAvailableforSaleSecuritiesGross" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredTaxAssetsUnrealizedLossesOnAvailableforSaleSecuritiesGross"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredTaxAssetsGrossAbstract" xlink:to="us-gaap_DeferredTaxAssetsUnrealizedLossesOnAvailableforSaleSecuritiesGross" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsOther" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsOther"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredTaxAssetsGrossAbstract" xlink:to="us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsOther" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DeferredTaxAssetsSolarTaxCreditInvestments" xlink:href="gcbc-20260630.xsd#gcbc_DeferredTaxAssetsSolarTaxCreditInvestments"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredTaxAssetsGrossAbstract" xlink:to="DeferredTaxAssetsSolarTaxCreditInvestments" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DeferredTaxAssetsLeaseLiability" xlink:href="gcbc-20260630.xsd#gcbc_DeferredTaxAssetsLeaseLiability"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredTaxAssetsGrossAbstract" xlink:to="DeferredTaxAssetsLeaseLiability" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxAssetsOther" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredTaxAssetsOther"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredTaxAssetsGrossAbstract" xlink:to="us-gaap_DeferredTaxAssetsOther" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxAssetsGross" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredTaxAssetsGross"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_DeferredTaxAssetsGross" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxLiabilitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredTaxLiabilitiesAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_DeferredTaxLiabilitiesAbstract" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredTaxLiabilitiesAbstract" xlink:to="us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DeferredTaxLiabilitiesDeferredLoanCosts" xlink:href="gcbc-20260630.xsd#gcbc_DeferredTaxLiabilitiesDeferredLoanCosts"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredTaxLiabilitiesAbstract" xlink:to="DeferredTaxLiabilitiesDeferredLoanCosts" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxLiabilitiesTaxDeferredIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredTaxLiabilitiesTaxDeferredIncome"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredTaxLiabilitiesAbstract" xlink:to="us-gaap_DeferredTaxLiabilitiesTaxDeferredIncome" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxLiabilitiesLeasingArrangements" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredTaxLiabilitiesLeasingArrangements"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredTaxLiabilitiesAbstract" xlink:to="us-gaap_DeferredTaxLiabilitiesLeasingArrangements" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DeferredTaxLiabilitiesPensionBenefits" xlink:href="gcbc-20260630.xsd#gcbc_DeferredTaxLiabilitiesPensionBenefits"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredTaxLiabilitiesAbstract" xlink:to="DeferredTaxLiabilitiesPensionBenefits" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredIncomeTaxLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredIncomeTaxLiabilities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_DeferredIncomeTaxLiabilities" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxAssetsLiabilitiesNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredTaxAssetsLiabilitiesNet"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_DeferredTaxAssetsLiabilitiesNet" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/CreditrelatedFinancialInstrumentswithOffBalanceSheetRiskTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfFinancingReceivablesPastDueTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfFinancingReceivablesPastDueTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:to="us-gaap_ScheduleOfFinancingReceivablesPastDueTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancialInstrumentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialInstrumentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivablesPastDueTable" xlink:to="us-gaap_FinancialInstrumentAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_UnfundedLoanCommitmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnfundedLoanCommitmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_UnfundedLoanCommitmentMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_UnusedLinesOfCreditMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnusedLinesOfCreditMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_UnusedLinesOfCreditMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StandbyLettersOfCreditMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StandbyLettersOfCreditMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_StandbyLettersOfCreditMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivablesPastDueTable" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_UnusedCommitmentsToExtendCredit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnusedCommitmentsToExtendCredit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems" xlink:to="us-gaap_UnusedCommitmentsToExtendCredit" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/SolarTaxCreditInvestmentsandRelatedUnfundedCommitmentsTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_VariableInterestEntityNotPrimaryBeneficiaryDisclosuresAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_VariableInterestEntityNotPrimaryBeneficiaryDisclosuresAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfVariableInterestEntitiesTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfVariableInterestEntitiesTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_VariableInterestEntityNotPrimaryBeneficiaryDisclosuresAbstract" xlink:to="us-gaap_ScheduleOfVariableInterestEntitiesTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_StatementScenarioAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_StatementScenarioAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfVariableInterestEntitiesTable" xlink:to="srt_StatementScenarioAxis" order="1.0"/>
    <loc xlink:type="locator" xlink:label="srt_ScenarioUnspecifiedDomain" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ScenarioUnspecifiedDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_StatementScenarioAxis" xlink:to="srt_ScenarioUnspecifiedDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_VariableInterestEntityLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_VariableInterestEntityLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfVariableInterestEntitiesTable" xlink:to="us-gaap_VariableInterestEntityLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="SolarTaxCreditInvestmentsGross" xlink:href="gcbc-20260630.xsd#gcbc_SolarTaxCreditInvestmentsGross"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_VariableInterestEntityLineItems" xlink:to="SolarTaxCreditInvestmentsGross" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="AccumulatedAmortizationOnSolarTaxCreditInvestments" xlink:href="gcbc-20260630.xsd#gcbc_AccumulatedAmortizationOnSolarTaxCreditInvestments"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_VariableInterestEntityLineItems" xlink:to="AccumulatedAmortizationOnSolarTaxCreditInvestments" order="1.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="SolarTaxCreditInvestmentsNet" xlink:href="gcbc-20260630.xsd#gcbc_SolarTaxCreditInvestmentsNet"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_VariableInterestEntityLineItems" xlink:to="SolarTaxCreditInvestmentsNet" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="UnfundedCommitmentsForSolarTaxCreditInvestments" xlink:href="gcbc-20260630.xsd#gcbc_UnfundedCommitmentsForSolarTaxCreditInvestments"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_VariableInterestEntityLineItems" xlink:to="UnfundedCommitmentsForSolarTaxCreditInvestments" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/NotionalAmountandFairValuesofInterestRateDerivativePositionsTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValuesDerivativesBalanceSheetLocationByDerivativeContractTypeByHedgingDesignationTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValuesDerivativesBalanceSheetLocationByDerivativeContractTypeByHedgingDesignationTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:to="us-gaap_FairValuesDerivativesBalanceSheetLocationByDerivativeContractTypeByHedgingDesignationTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HedgingDesignationAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HedgingDesignationAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValuesDerivativesBalanceSheetLocationByDerivativeContractTypeByHedgingDesignationTable" xlink:to="us-gaap_HedgingDesignationAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NondesignatedMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NondesignatedMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_HedgingDesignationAxis" xlink:to="us-gaap_NondesignatedMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeInstrumentRiskAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValuesDerivativesBalanceSheetLocationByDerivativeContractTypeByHedgingDesignationTable" xlink:to="us-gaap_DerivativeInstrumentRiskAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestRateSwapMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestRateSwapMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentRiskAxis" xlink:to="us-gaap_InterestRateSwapMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativesFairValueLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativesFairValueLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValuesDerivativesBalanceSheetLocationByDerivativeContractTypeByHedgingDesignationTable" xlink:to="us-gaap_DerivativesFairValueLineItems" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeAssetStatementOfFinancialPositionExtensibleEnumeration" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssetStatementOfFinancialPositionExtensibleEnumeration"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativesFairValueLineItems" xlink:to="us-gaap_DerivativeAssetStatementOfFinancialPositionExtensibleEnumeration" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeAssetNotionalAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssetNotionalAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativesFairValueLineItems" xlink:to="us-gaap_DerivativeAssetNotionalAmount" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeFairValueOfDerivativeAsset" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeFairValueOfDerivativeAsset"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativesFairValueLineItems" xlink:to="us-gaap_DerivativeFairValueOfDerivativeAsset" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeLiabilityStatementOfFinancialPositionExtensibleEnumeration" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLiabilityStatementOfFinancialPositionExtensibleEnumeration"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativesFairValueLineItems" xlink:to="us-gaap_DerivativeLiabilityStatementOfFinancialPositionExtensibleEnumeration" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeLiabilityNotionalAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLiabilityNotionalAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativesFairValueLineItems" xlink:to="us-gaap_DerivativeLiabilityNotionalAmount" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeFairValueOfDerivativeLiability"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativesFairValueLineItems" xlink:to="us-gaap_DerivativeFairValueOfDerivativeLiability" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeCollateralObligationToReturnCash" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeCollateralObligationToReturnCash"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativesFairValueLineItems" xlink:to="us-gaap_DerivativeCollateralObligationToReturnCash" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeLiabilityStatementOfFinancialPositionExtensibleEnumeration_0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLiabilityStatementOfFinancialPositionExtensibleEnumeration"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeCollateralRightToReclaimCash" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeCollateralRightToReclaimCash"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativesFairValueLineItems" xlink:to="us-gaap_DerivativeCollateralRightToReclaimCash" order="7.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeFairValueOfDerivativeAssetAmountOffsetAgainstCollateral" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeFairValueOfDerivativeAssetAmountOffsetAgainstCollateral"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativesFairValueLineItems" xlink:to="us-gaap_DerivativeFairValueOfDerivativeAssetAmountOffsetAgainstCollateral" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeFairValueOfDerivativeLiabilityAmountOffsetAgainstCollateral" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeFairValueOfDerivativeLiabilityAmountOffsetAgainstCollateral"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativesFairValueLineItems" xlink:to="us-gaap_DerivativeFairValueOfDerivativeLiabilityAmountOffsetAgainstCollateral" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/QuantitativeDataRelatedtoOperatingLeasesTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_LeasesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LeasesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_OperatingLeaseRightOfUseAsset" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingLeaseLiability" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeaseLiability"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_OperatingLeaseLiability" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeaseDescriptionAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LesseeOperatingLeaseDescriptionAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_LesseeOperatingLeaseDescriptionAbstract" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingLeasePayments" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeasePayments"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LesseeOperatingLeaseDescriptionAbstract" xlink:to="us-gaap_OperatingLeasePayments" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LesseeOperatingLeaseDescriptionAbstract" xlink:to="us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LeaseCostAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LeaseCostAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_LeaseCostAbstract" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingLeaseCost" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeaseCost"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeaseCostAbstract" xlink:to="us-gaap_OperatingLeaseCost" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_VariableLeaseCost" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_VariableLeaseCost"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeaseCostAbstract" xlink:to="us-gaap_VariableLeaseCost" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/UndiscountedCashFlowsofOperatingLeaseLiabilitiesTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_LeasesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LeasesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount" order="7.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingLeaseLiability" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeaseLiability"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_OperatingLeaseLiability" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/AssetsMeasuredatFairValueonRecurringBasisTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueDisclosuresAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueDisclosuresAbstract" xlink:to="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueByMeasurementFrequencyAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByMeasurementFrequencyAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="us-gaap_FairValueByMeasurementFrequencyAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueMeasurementsRecurringMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementsRecurringMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByMeasurementFrequencyAxis" xlink:to="us-gaap_FairValueMeasurementsRecurringMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueByAssetClassAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByAssetClassAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="us-gaap_FairValueByAssetClassAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByAssetClassAxis" xlink:to="us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USTreasurySecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_USTreasurySecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByAssetClassAxis" xlink:to="us-gaap_USTreasurySecuritiesMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByAssetClassAxis" xlink:to="us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USStatesAndPoliticalSubdivisionsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_USStatesAndPoliticalSubdivisionsMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByAssetClassAxis" xlink:to="us-gaap_USStatesAndPoliticalSubdivisionsMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ResidentialMortgageBackedSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ResidentialMortgageBackedSecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByAssetClassAxis" xlink:to="us-gaap_ResidentialMortgageBackedSecuritiesMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="MortgageBackedSecuritiesMultiFamilyMember" xlink:href="gcbc-20260630.xsd#gcbc_MortgageBackedSecuritiesMultiFamilyMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByAssetClassAxis" xlink:to="MortgageBackedSecuritiesMultiFamilyMember" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CorporateDebtSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CorporateDebtSecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByAssetClassAxis" xlink:to="us-gaap_CorporateDebtSecuritiesMember" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="us-gaap_FairValueByFairValueHierarchyLevelAxis" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="us-gaap_FairValueMeasurementsFairValueHierarchyDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueInputsLevel1Member" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel1Member"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="us-gaap_FairValueInputsLevel1Member" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueInputsLevel2Member" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel2Member"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="us-gaap_FairValueInputsLevel2Member" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueInputsLevel3Member" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="us-gaap_FairValueInputsLevel3Member" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AssetsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssetsAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:to="us-gaap_AssetsAbstract" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AssetsAbstract" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtSecurities" order="0.0" preferredLabel="http://www.xbrl.org/2009/role/netLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AssetsAbstract" xlink:to="us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestRateDerivativeAssetsAtFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestRateDerivativeAssetsAtFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AssetsAbstract" xlink:to="us-gaap_InterestRateDerivativeAssetsAtFairValue" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AssetsFairValueDisclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssetsFairValueDisclosure"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AssetsAbstract" xlink:to="us-gaap_AssetsFairValueDisclosure" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilitiesAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:to="us-gaap_LiabilitiesAbstract" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestRateDerivativeLiabilitiesAtFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestRateDerivativeLiabilitiesAtFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LiabilitiesAbstract" xlink:to="us-gaap_InterestRateDerivativeLiabilitiesAtFairValue" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilitiesFairValueDisclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilitiesFairValueDisclosure"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LiabilitiesAbstract" xlink:to="us-gaap_LiabilitiesFairValueDisclosure" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/FairValueMeasurementsforLoansEvaluatedIndividuallyandForeclosedRealEstateTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueDisclosuresAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueDisclosuresAbstract" xlink:to="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueByMeasurementBasisAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByMeasurementBasisAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="us-gaap_FairValueByMeasurementBasisAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PortionAtFairValueFairValueDisclosureMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PortionAtFairValueFairValueDisclosureMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByMeasurementBasisAxis" xlink:to="us-gaap_PortionAtFairValueFairValueDisclosureMember" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CarryingReportedAmountFairValueDisclosureMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByMeasurementBasisAxis" xlink:to="us-gaap_CarryingReportedAmountFairValueDisclosureMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EstimateOfFairValueFairValueDisclosureMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByMeasurementBasisAxis" xlink:to="us-gaap_EstimateOfFairValueFairValueDisclosureMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="us-gaap_FairValueByFairValueHierarchyLevelAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueInputsLevel3Member" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="us-gaap_FairValueInputsLevel3Member" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="CollateralDependentEvaluatedLoansFairValueDisclosure" xlink:href="gcbc-20260630.xsd#gcbc_CollateralDependentEvaluatedLoansFairValueDisclosure"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:to="CollateralDependentEvaluatedLoansFairValueDisclosure" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/CarryingAmountsandEstimatedFairValueofFinancialInstrumentsTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueDisclosuresAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueByBalanceSheetGroupingTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByBalanceSheetGroupingTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueDisclosuresAbstract" xlink:to="us-gaap_FairValueByBalanceSheetGroupingTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByBalanceSheetGroupingTable" xlink:to="us-gaap_FairValueByFairValueHierarchyLevelAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="us-gaap_FairValueMeasurementsFairValueHierarchyDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueInputsLevel1Member" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel1Member"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="us-gaap_FairValueInputsLevel1Member" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueInputsLevel2Member" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel2Member"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="us-gaap_FairValueInputsLevel2Member" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueInputsLevel3Member" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="us-gaap_FairValueInputsLevel3Member" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueByMeasurementBasisAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByMeasurementBasisAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByBalanceSheetGroupingTable" xlink:to="us-gaap_FairValueByMeasurementBasisAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PortionAtFairValueFairValueDisclosureMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PortionAtFairValueFairValueDisclosureMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByMeasurementBasisAxis" xlink:to="us-gaap_PortionAtFairValueFairValueDisclosureMember" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CarryingReportedAmountFairValueDisclosureMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByMeasurementBasisAxis" xlink:to="us-gaap_CarryingReportedAmountFairValueDisclosureMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EstimateOfFairValueFairValueDisclosureMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByMeasurementBasisAxis" xlink:to="us-gaap_EstimateOfFairValueFairValueDisclosureMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByBalanceSheetGroupingTable" xlink:to="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsFairValueDisclosure"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="us-gaap_CashAndCashEquivalentsFairValueDisclosure" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="CertificatesOfDepositFairValueDisclosure" xlink:href="gcbc-20260630.xsd#gcbc_CertificatesOfDepositFairValueDisclosure"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="CertificatesOfDepositFairValueDisclosure" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtSecurities" order="2.0" preferredLabel="http://www.xbrl.org/2009/role/netLabel"/>
    <loc xlink:type="locator" xlink:label="DebtSecuritiesHeldToMaturitySecuritiesFairValueDisclosure" xlink:href="gcbc-20260630.xsd#gcbc_DebtSecuritiesHeldToMaturitySecuritiesFairValueDisclosure"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="DebtSecuritiesHeldToMaturitySecuritiesFairValueDisclosure" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentInFederalHomeLoanBankStockFairValueDisclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentInFederalHomeLoanBankStockFairValueDisclosure"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="us-gaap_InvestmentInFederalHomeLoanBankStockFairValueDisclosure" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LoansReceivableFairValueDisclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LoansReceivableFairValueDisclosure"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="us-gaap_LoansReceivableFairValueDisclosure" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="AccruedInterestReceivableFairValueDisclosure" xlink:href="gcbc-20260630.xsd#gcbc_AccruedInterestReceivableFairValueDisclosure"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="AccruedInterestReceivableFairValueDisclosure" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestRateDerivativeAssetsAtFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestRateDerivativeAssetsAtFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="us-gaap_InterestRateDerivativeAssetsAtFairValue" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DepositsFairValueDisclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DepositsFairValueDisclosure"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="us-gaap_DepositsFairValueDisclosure" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtInstrumentFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="us-gaap_DebtInstrumentFairValue" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisSubordinatedDebtObligations" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisSubordinatedDebtObligations"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisSubordinatedDebtObligations" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccruedLiabilitiesFairValueDisclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccruedLiabilitiesFairValueDisclosure"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="us-gaap_AccruedLiabilitiesFairValueDisclosure" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestRateDerivativeLiabilitiesAtFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestRateDerivativeLiabilitiesAtFairValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="us-gaap_InterestRateDerivativeLiabilitiesAtFairValue" order="13.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/CompliancewithRegulatoryCapitalRequirementsunderBankingRegulationsTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="srt_RegulatoryCapitalRequirementsAbstract" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RegulatoryCapitalRequirementsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RegulatoryCapitalRequirementsAbstract" xlink:to="us-gaap_ScheduleOfComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_ConsolidatedEntitiesAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ConsolidatedEntitiesAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsTable" xlink:to="srt_ConsolidatedEntitiesAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_ParentCompanyMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ParentCompanyMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_ConsolidatedEntitiesAxis" xlink:to="srt_ParentCompanyMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_SubsidiariesMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_SubsidiariesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_ConsolidatedEntitiesAxis" xlink:to="srt_SubsidiariesMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="GreeneCountyCommercialBankMember" xlink:href="gcbc-20260630.xsd#gcbc_GreeneCountyCommercialBankMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_ConsolidatedEntitiesAxis" xlink:to="GreeneCountyCommercialBankMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsTable" xlink:to="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_Capital" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Capital"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_Capital" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CapitalToRiskWeightedAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CapitalToRiskWeightedAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_CapitalToRiskWeightedAssets" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CapitalRequiredForCapitalAdequacy" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CapitalRequiredForCapitalAdequacy"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_CapitalRequiredForCapitalAdequacy" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CapitalRequiredForCapitalAdequacyToRiskWeightedAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CapitalRequiredForCapitalAdequacyToRiskWeightedAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_CapitalRequiredForCapitalAdequacyToRiskWeightedAssets" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CapitalRequiredToBeWellCapitalized" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CapitalRequiredToBeWellCapitalized"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_CapitalRequiredToBeWellCapitalized" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CapitalRequiredToBeWellCapitalizedToRiskWeightedAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CapitalRequiredToBeWellCapitalizedToRiskWeightedAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_CapitalRequiredToBeWellCapitalizedToRiskWeightedAssets" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BankingRegulationCapitalConservationBufferTotalRiskBasedCapitalActual" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BankingRegulationCapitalConservationBufferTotalRiskBasedCapitalActual"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_BankingRegulationCapitalConservationBufferTotalRiskBasedCapitalActual" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BankingRegulationCapitalConservationBufferCapitalConservedMinimum" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BankingRegulationCapitalConservationBufferCapitalConservedMinimum"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_BankingRegulationCapitalConservationBufferCapitalConservedMinimum" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TierOneRiskBasedCapital" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TierOneRiskBasedCapital"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_TierOneRiskBasedCapital" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TierOneRiskBasedCapitalToRiskWeightedAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TierOneRiskBasedCapitalToRiskWeightedAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_TierOneRiskBasedCapitalToRiskWeightedAssets" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TierOneRiskBasedCapitalRequiredForCapitalAdequacy" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TierOneRiskBasedCapitalRequiredForCapitalAdequacy"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_TierOneRiskBasedCapitalRequiredForCapitalAdequacy" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TierOneRiskBasedCapitalRequiredForCapitalAdequacyToRiskWeightedAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TierOneRiskBasedCapitalRequiredForCapitalAdequacyToRiskWeightedAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_TierOneRiskBasedCapitalRequiredForCapitalAdequacyToRiskWeightedAssets" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TierOneRiskBasedCapitalRequiredToBeWellCapitalized" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TierOneRiskBasedCapitalRequiredToBeWellCapitalized"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_TierOneRiskBasedCapitalRequiredToBeWellCapitalized" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TierOneRiskBasedCapitalRequiredToBeWellCapitalizedToRiskWeightedAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TierOneRiskBasedCapitalRequiredToBeWellCapitalizedToRiskWeightedAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_TierOneRiskBasedCapitalRequiredToBeWellCapitalizedToRiskWeightedAssets" order="13.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BankingRegulationCapitalConservationBufferTierOneRiskBasedCapitalActual" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BankingRegulationCapitalConservationBufferTierOneRiskBasedCapitalActual"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_BankingRegulationCapitalConservationBufferTierOneRiskBasedCapitalActual" order="14.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="TierOneRiskBasedCapitalRequiredForCapitalConservationBufferToRiskWeightedAssets" xlink:href="gcbc-20260630.xsd#gcbc_TierOneRiskBasedCapitalRequiredForCapitalConservationBufferToRiskWeightedAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="TierOneRiskBasedCapitalRequiredForCapitalConservationBufferToRiskWeightedAssets" order="15.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonEquityTierOneCapital" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonEquityTierOneCapital"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_CommonEquityTierOneCapital" order="16.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonEquityTierOneCapitalRatio" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonEquityTierOneCapitalRatio"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_CommonEquityTierOneCapitalRatio" order="17.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonEquityTierOneCapitalRequiredForCapitalAdequacy" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonEquityTierOneCapitalRequiredForCapitalAdequacy"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_CommonEquityTierOneCapitalRequiredForCapitalAdequacy" order="18.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BankingRegulationCommonEquityTierOneRiskBasedCapitalRatioCapitalAdequacyMinimum" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BankingRegulationCommonEquityTierOneRiskBasedCapitalRatioCapitalAdequacyMinimum"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_BankingRegulationCommonEquityTierOneRiskBasedCapitalRatioCapitalAdequacyMinimum" order="19.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonEquityTierOneCapitalRequiredToBeWellCapitalized" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonEquityTierOneCapitalRequiredToBeWellCapitalized"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_CommonEquityTierOneCapitalRequiredToBeWellCapitalized" order="20.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BankingRegulationCommonEquityTierOneRiskBasedCapitalRatioWellCapitalizedMinimum" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BankingRegulationCommonEquityTierOneRiskBasedCapitalRatioWellCapitalizedMinimum"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_BankingRegulationCommonEquityTierOneRiskBasedCapitalRatioWellCapitalizedMinimum" order="21.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BankingRegulationCapitalConservationBufferCommonEquityTierOneRiskBasedCapitalActual" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BankingRegulationCapitalConservationBufferCommonEquityTierOneRiskBasedCapitalActual"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_BankingRegulationCapitalConservationBufferCommonEquityTierOneRiskBasedCapitalActual" order="22.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="CommonEquityTierOneRiskBasedCapitalRequiredForCapitalConservationBufferToRiskWeightedAssets" xlink:href="gcbc-20260630.xsd#gcbc_CommonEquityTierOneRiskBasedCapitalRequiredForCapitalConservationBufferToRiskWeightedAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="CommonEquityTierOneRiskBasedCapitalRequiredForCapitalConservationBufferToRiskWeightedAssets" order="23.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TierOneLeverageCapital" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TierOneLeverageCapital"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_TierOneLeverageCapital" order="24.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TierOneLeverageCapitalToAverageAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TierOneLeverageCapitalToAverageAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_TierOneLeverageCapitalToAverageAssets" order="25.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TierOneLeverageCapitalRequiredForCapitalAdequacy" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TierOneLeverageCapitalRequiredForCapitalAdequacy"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_TierOneLeverageCapitalRequiredForCapitalAdequacy" order="26.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TierOneLeverageCapitalRequiredForCapitalAdequacyToAverageAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TierOneLeverageCapitalRequiredForCapitalAdequacyToAverageAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_TierOneLeverageCapitalRequiredForCapitalAdequacyToAverageAssets" order="27.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TierOneLeverageCapitalRequiredToBeWellCapitalized" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TierOneLeverageCapitalRequiredToBeWellCapitalized"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_TierOneLeverageCapitalRequiredToBeWellCapitalized" order="28.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TierOneLeverageCapitalRequiredToBeWellCapitalizedToAverageAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TierOneLeverageCapitalRequiredToBeWellCapitalizedToAverageAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="us-gaap_TierOneLeverageCapitalRequiredToBeWellCapitalizedToAverageAssets" order="29.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="TierOneLeverageCapitalForCapitalConservationBufferToAverageAssets" xlink:href="gcbc-20260630.xsd#gcbc_TierOneLeverageCapitalForCapitalConservationBufferToAverageAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="TierOneLeverageCapitalForCapitalConservationBufferToAverageAssets" order="30.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="TierOneLeverageCapitalRequiredForCapitalConservationBufferToAverageAssets" xlink:href="gcbc-20260630.xsd#gcbc_TierOneLeverageCapitalRequiredForCapitalConservationBufferToAverageAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="TierOneLeverageCapitalRequiredForCapitalConservationBufferToAverageAssets" order="31.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/CondensedStatementsofFinancialConditionTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="srt_CondensedBalanceSheetStatementTable" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_CondensedBalanceSheetStatementTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract" xlink:to="srt_CondensedBalanceSheetStatementTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_ConsolidatedEntitiesAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ConsolidatedEntitiesAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedBalanceSheetStatementTable" xlink:to="srt_ConsolidatedEntitiesAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_ParentCompanyMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ParentCompanyMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_ConsolidatedEntitiesAxis" xlink:to="srt_ParentCompanyMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_CondensedBalanceSheetStatementsCaptionsLineItems" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_CondensedBalanceSheetStatementsCaptionsLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedBalanceSheetStatementTable" xlink:to="srt_CondensedBalanceSheetStatementsCaptionsLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedBalanceSheetStatementsCaptionsLineItems" xlink:to="us-gaap_CashAndCashEquivalentsAtCarryingValue" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EquityMethodInvestments" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquityMethodInvestments"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedBalanceSheetStatementsCaptionsLineItems" xlink:to="us-gaap_EquityMethodInvestments" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PrepaidExpenseAndOtherAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PrepaidExpenseAndOtherAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedBalanceSheetStatementsCaptionsLineItems" xlink:to="us-gaap_PrepaidExpenseAndOtherAssets" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_Assets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Assets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PrepaidExpenseAndOtherAssets" xlink:to="us-gaap_Assets" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="LiabilitiesAndShareholdersEquityAbstract0" xlink:href="gcbc-20260630.xsd#gcbc_LiabilitiesAndShareholdersEquityAbstract0"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedBalanceSheetStatementsCaptionsLineItems" xlink:to="LiabilitiesAndShareholdersEquityAbstract0" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SubordinatedDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubordinatedDebt"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LiabilitiesAndShareholdersEquityAbstract0" xlink:to="us-gaap_SubordinatedDebt" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccruedLiabilitiesAndOtherLiabilities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LiabilitiesAndShareholdersEquityAbstract0" xlink:to="us-gaap_AccruedLiabilitiesAndOtherLiabilities" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_Liabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Liabilities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:to="us-gaap_Liabilities" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockholdersEquity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:to="us-gaap_StockholdersEquity" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:to="us-gaap_LiabilitiesAndStockholdersEquity" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/CondensedStatementsofIncomeTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="srt_CondensedIncomeStatementTable" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_CondensedIncomeStatementTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract" xlink:to="srt_CondensedIncomeStatementTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_ConsolidatedEntitiesAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ConsolidatedEntitiesAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedIncomeStatementTable" xlink:to="srt_ConsolidatedEntitiesAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_ParentCompanyMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ParentCompanyMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_ConsolidatedEntitiesAxis" xlink:to="srt_ParentCompanyMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_CondensedIncomeStatementsCaptionsLineItems" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_CondensedIncomeStatementsCaptionsLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedIncomeStatementTable" xlink:to="srt_CondensedIncomeStatementsCaptionsLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestAndOtherIncomeAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestAndOtherIncomeAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedIncomeStatementsCaptionsLineItems" xlink:to="us-gaap_InterestAndOtherIncomeAbstract" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeLossFromEquityMethodInvestmentsNetOfDividendsOrDistributions" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeLossFromEquityMethodInvestmentsNetOfDividendsOrDistributions"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InterestAndOtherIncomeAbstract" xlink:to="us-gaap_IncomeLossFromEquityMethodInvestmentsNetOfDividendsOrDistributions" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DividendIncomeOperating" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendIncomeOperating"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InterestAndOtherIncomeAbstract" xlink:to="us-gaap_DividendIncomeOperating" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentIssuerAffiliationExtensibleEnumeration" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentIssuerAffiliationExtensibleEnumeration"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InterestAndOtherIncomeAbstract" xlink:to="us-gaap_InvestmentIssuerAffiliationExtensibleEnumeration" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestIncomeDomesticDeposits" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeDomesticDeposits"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InterestAndOtherIncomeAbstract" xlink:to="us-gaap_InterestIncomeDomesticDeposits" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_Revenues" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Revenues"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InterestIncomeDomesticDeposits" xlink:to="us-gaap_Revenues" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingExpensesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingExpensesAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedIncomeStatementsCaptionsLineItems" xlink:to="us-gaap_OperatingExpensesAbstract" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LegalFees" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LegalFees"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_OperatingExpensesAbstract" xlink:to="us-gaap_LegalFees" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestExpenseBorrowings" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseBorrowings"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_OperatingExpensesAbstract" xlink:to="us-gaap_InterestExpenseBorrowings" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherNoninterestExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherNoninterestExpense"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_OperatingExpensesAbstract" xlink:to="us-gaap_OtherNoninterestExpense" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingExpenses" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingExpenses"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_OtherNoninterestExpense" xlink:to="us-gaap_OperatingExpenses" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetIncomeLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_OperatingExpensesAbstract" xlink:to="us-gaap_NetIncomeLoss" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/CondensedStatementsofCashFlowsTable" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="srt_CondensedCashFlowStatementTable" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_CondensedCashFlowStatementTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract" xlink:to="srt_CondensedCashFlowStatementTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_ConsolidatedEntitiesAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ConsolidatedEntitiesAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedCashFlowStatementTable" xlink:to="srt_ConsolidatedEntitiesAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_ParentCompanyMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ParentCompanyMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_ConsolidatedEntitiesAxis" xlink:to="srt_ParentCompanyMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_CondensedCashFlowStatementsCaptionsLineItems" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_CondensedCashFlowStatementsCaptionsLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedCashFlowStatementTable" xlink:to="srt_CondensedCashFlowStatementsCaptionsLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetIncomeLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedCashFlowStatementsCaptionsLineItems" xlink:to="us-gaap_NetIncomeLoss" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedCashFlowStatementsCaptionsLineItems" xlink:to="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeLossFromEquityMethodInvestmentsNetOfDividendsOrDistributions" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeLossFromEquityMethodInvestmentsNetOfDividendsOrDistributions"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_IncomeLossFromEquityMethodInvestmentsNetOfDividendsOrDistributions" order="0.0" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AmortizationOfFinancingCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AmortizationOfFinancingCosts"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_AmortizationOfFinancingCosts" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" order="2.0" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccountsPayable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_IncreaseDecreaseInAccountsPayable" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInOperatingActivities" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedCashFlowStatementsCaptionsLineItems" xlink:to="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsOfDividends" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsOfDividends"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_PaymentsOfDividends" order="0.0" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsForRepurchaseOfCommonStock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_PaymentsForRepurchaseOfCommonStock" order="1.0" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RepaymentsOfSubordinatedDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RepaymentsOfSubordinatedDebt"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_RepaymentsOfSubordinatedDebt" order="2.0" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInFinancingActivities" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedCashFlowStatementsCaptionsLineItems" xlink:to="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedCashFlowStatementsCaptionsLineItems" xlink:to="us-gaap_CashAndCashEquivalentsAtCarryingValue" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_CondensedCashFlowStatementsCaptionsLineItems" xlink:to="us-gaap_CashAndCashEquivalentsAtCarryingValue_0" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/LoansandAllowanceforCreditLossesonLoansDetailsFinancialEffectofModificationsMadetoBorrowersExperiencingFinancialDifficulty" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfFinancingReceivableTroubledDebtRestructuringsTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfFinancingReceivableTroubledDebtRestructuringsTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="us-gaap_ScheduleOfFinancingReceivableTroubledDebtRestructuringsTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivableTroubledDebtRestructuringsTable" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommercialRealEstatePortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommercialRealEstatePortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_CommercialRealEstatePortfolioSegmentMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LoanRestructuringModificationAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LoanRestructuringModificationAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivableTroubledDebtRestructuringsTable" xlink:to="us-gaap_LoanRestructuringModificationAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentDeferralMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentDeferralMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoanRestructuringModificationAxis" xlink:to="us-gaap_PaymentDeferralMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ExtendedMaturityMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ExtendedMaturityMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoanRestructuringModificationAxis" xlink:to="us-gaap_ExtendedMaturityMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ContractualInterestRateReductionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ContractualInterestRateReductionMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LoanRestructuringModificationAxis" xlink:to="us-gaap_ContractualInterestRateReductionMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableModificationsLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableModificationsLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivableTroubledDebtRestructuringsTable" xlink:to="us-gaap_FinancingReceivableModificationsLineItems" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableModifiedWeightedAverageTermIncreaseFromModification" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableModifiedWeightedAverageTermIncreaseFromModification"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableModificationsLineItems" xlink:to="us-gaap_FinancingReceivableModifiedWeightedAverageTermIncreaseFromModification" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FinancingReceivableModificationsWeightedAverageInterestRate" xlink:href="gcbc-20260630.xsd#gcbc_FinancingReceivableModificationsWeightedAverageInterestRate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableModificationsLineItems" xlink:to="FinancingReceivableModificationsWeightedAverageInterestRate" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://xbrl.sec.gov/cyd/role/CybersecurityRiskManagementAndStrategyDisclosure" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementStrategyAndGovernanceAbstract" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskManagementStrategyAndGovernanceAbstract"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementStrategyAndGovernanceTable" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskManagementStrategyAndGovernanceTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceAbstract" xlink:to="cyd_CybersecurityRiskManagementStrategyAndGovernanceTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceTable" xlink:to="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementProcessesForAssessingIdentifyingAndManagingThreatsTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskManagementProcessesForAssessingIdentifyingAndManagingThreatsTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskManagementProcessesForAssessingIdentifyingAndManagingThreatsTextBlock" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementThirdPartyEngagedFlag" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskManagementThirdPartyEngagedFlag"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskManagementThirdPartyEngagedFlag" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementProcessesIntegratedFlag" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskManagementProcessesIntegratedFlag"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskManagementProcessesIntegratedFlag" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementProcessesIntegratedTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskManagementProcessesIntegratedTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskManagementProcessesIntegratedTextBlock" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantTextBlock" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantFlag" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantFlag"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantFlag" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskThirdPartyOversightAndIdentificationProcessesFlag" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskThirdPartyOversightAndIdentificationProcessesFlag"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskThirdPartyOversightAndIdentificationProcessesFlag" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskBoardOfDirectorsOversightTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskBoardOfDirectorsOversightTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskBoardOfDirectorsOversightTextBlock" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskProcessForInformingBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskProcessForInformingBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskProcessForInformingBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskRoleOfManagementTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskRoleOfManagementTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskRoleOfManagementTextBlock" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleTextBlock" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleFlag" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleFlag"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleFlag" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleReportToBoardFlag" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleReportToBoardFlag"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleReportToBoardFlag" order="13.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskManagementExpertiseOfManagementResponsibleTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskManagementExpertiseOfManagementResponsibleTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskManagementExpertiseOfManagementResponsibleTextBlock" order="14.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="cyd_CybersecurityRiskProcessForInformingManagementOrCommitteesResponsibleTextBlock" xlink:href="https://xbrl.sec.gov/cyd/2026/cyd-2026.xsd#cyd_CybersecurityRiskProcessForInformingManagementOrCommitteesResponsibleTextBlock"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems" xlink:to="cyd_CybersecurityRiskProcessForInformingManagementOrCommitteesResponsibleTextBlock" order="15.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/SummaryofsignificantaccountingpoliciesDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccountingPoliciesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountingPoliciesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountingPoliciesAbstract" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTable" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HomeEquityLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HomeEquityLoanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_HomeEquityLoanMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_RangeAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTable" xlink:to="srt_RangeAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_RangeMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RangeAxis" xlink:to="srt_RangeMember" order="0.0"/>
    <loc xlink:type="locator" xlink:label="srt_MaximumMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MaximumMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RangeAxis" xlink:to="srt_MaximumMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_MinimumMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MinimumMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RangeAxis" xlink:to="srt_MinimumMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTable" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentAxis" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommercialPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommercialPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_CommercialPortfolioSegmentMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentByTypeAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTable" xlink:to="us-gaap_PropertyPlantAndEquipmentByTypeAxis" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentTypeDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentByTypeAxis" xlink:to="us-gaap_PropertyPlantAndEquipmentTypeDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BuildingAndBuildingImprovementsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BuildingAndBuildingImprovementsMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentByTypeAxis" xlink:to="us-gaap_BuildingAndBuildingImprovementsMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FurnitureAndFixturesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FurnitureAndFixturesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentByTypeAxis" xlink:to="us-gaap_FurnitureAndFixturesMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancialInstrumentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialInstrumentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTable" xlink:to="us-gaap_FinancialInstrumentAxis" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USTreasurySecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_USTreasurySecuritiesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_USTreasurySecuritiesMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_StatementScenarioAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_StatementScenarioAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTable" xlink:to="srt_StatementScenarioAxis" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_ScenarioUnspecifiedDomain" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ScenarioUnspecifiedDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_StatementScenarioAxis" xlink:to="srt_ScenarioUnspecifiedDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="CompanyHoldsTheFirstMortgageMember" xlink:href="gcbc-20260630.xsd#gcbc_CompanyHoldsTheFirstMortgageMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_StatementScenarioAxis" xlink:to="CompanyHoldsTheFirstMortgageMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="CompanyDoesNotHoldTheFirstMortgageMember" xlink:href="gcbc-20260630.xsd#gcbc_CompanyDoesNotHoldTheFirstMortgageMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_StatementScenarioAxis" xlink:to="CompanyDoesNotHoldTheFirstMortgageMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldtomaturityAllowanceForCreditLossLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldtomaturityAllowanceForCreditLossLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLossTable" xlink:to="us-gaap_DebtSecuritiesHeldtomaturityAllowanceForCreditLossLineItems" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NumberOfStores" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NumberOfStores"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldtomaturityAllowanceForCreditLossLineItems" xlink:to="us-gaap_NumberOfStores" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NumberOfReportableSegments" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NumberOfReportableSegments"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldtomaturityAllowanceForCreditLossLineItems" xlink:to="us-gaap_NumberOfReportableSegments" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldtomaturityAllowanceForCreditLossLineItems" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAllowanceForCreditLoss" order="2.0" preferredLabel="http://www.xbrl.org/2009/role/netLabel"/>
    <loc xlink:type="locator" xlink:label="ThresholdPeriodOfDelinquencyAfterWhichLoanIsPlacedOnNonaccrualStatus" xlink:href="gcbc-20260630.xsd#gcbc_ThresholdPeriodOfDelinquencyAfterWhichLoanIsPlacedOnNonaccrualStatus"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldtomaturityAllowanceForCreditLossLineItems" xlink:to="ThresholdPeriodOfDelinquencyAfterWhichLoanIsPlacedOnNonaccrualStatus" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FinancingReceivableThresholdPrincipalAmountOfNonaccrualLoansEvaluatedIndividuallyForImpairment" xlink:href="gcbc-20260630.xsd#gcbc_FinancingReceivableThresholdPrincipalAmountOfNonaccrualLoansEvaluatedIndividuallyForImpairment"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldtomaturityAllowanceForCreditLossLineItems" xlink:to="FinancingReceivableThresholdPrincipalAmountOfNonaccrualLoansEvaluatedIndividuallyForImpairment" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="LoanTerm" xlink:href="gcbc-20260630.xsd#gcbc_LoanTerm"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldtomaturityAllowanceForCreditLossLineItems" xlink:to="LoanTerm" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="LoanToValueRatio" xlink:href="gcbc-20260630.xsd#gcbc_LoanToValueRatio"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldtomaturityAllowanceForCreditLossLineItems" xlink:to="LoanToValueRatio" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableThresholdPeriodPastDueWriteoff" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableThresholdPeriodPastDueWriteoff"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldtomaturityAllowanceForCreditLossLineItems" xlink:to="us-gaap_FinancingReceivableThresholdPeriodPastDueWriteoff" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentUsefulLife" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentUsefulLife"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldtomaturityAllowanceForCreditLossLineItems" xlink:to="us-gaap_PropertyPlantAndEquipmentUsefulLife" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdvertisingExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdvertisingExpense"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtSecuritiesHeldtomaturityAllowanceForCreditLossLineItems" xlink:to="us-gaap_AdvertisingExpense" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/BalancesatOtherBanksDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CashAndCashEquivalentsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RestrictedCashAndCashEquivalents" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedCashAndCashEquivalents"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CashAndCashEquivalentsAbstract" xlink:to="us-gaap_RestrictedCashAndCashEquivalents" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/SecuritiesDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MarketableSecuritiesTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MarketableSecuritiesTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="us-gaap_MarketableSecuritiesTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PledgedStatusAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PledgedStatusAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesTable" xlink:to="us-gaap_PledgedStatusAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PledgedStatusDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PledgedStatusDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PledgedStatusAxis" xlink:to="us-gaap_PledgedStatusDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AssetPledgedAsCollateralMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssetPledgedAsCollateralMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PledgedStatusAxis" xlink:to="us-gaap_AssetPledgedAsCollateralMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PledgingPurposeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PledgingPurposeAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesTable" xlink:to="us-gaap_PledgingPurposeAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PledgingPurposeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PledgingPurposeDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PledgingPurposeAxis" xlink:to="us-gaap_PledgingPurposeDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DepositsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DepositsMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PledgingPurposeAxis" xlink:to="us-gaap_DepositsMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalReserveBankAdvancesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FederalReserveBankAdvancesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PledgingPurposeAxis" xlink:to="us-gaap_FederalReserveBankAdvancesMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MarketableSecuritiesLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MarketableSecuritiesLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesTable" xlink:to="us-gaap_MarketableSecuritiesLineItems" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="NumberOfCategoriesUtilizedUnderRiskManagementApproachOfDiversifiedInvesting" xlink:href="gcbc-20260630.xsd#gcbc_NumberOfCategoriesUtilizedUnderRiskManagementApproachOfDiversifiedInvesting"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="NumberOfCategoriesUtilizedUnderRiskManagementApproachOfDiversifiedInvesting" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLoss" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesHeldToMaturityAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesHeldToMaturityAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="AvailableForSaleSecuritiesTransfersToHeldToMaturity" xlink:href="gcbc-20260630.xsd#gcbc_AvailableForSaleSecuritiesTransfersToHeldToMaturity"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="AvailableForSaleSecuritiesTransfersToHeldToMaturity" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="NumberOfDebtSecuritiesAvailableForSale" xlink:href="gcbc-20260630.xsd#gcbc_NumberOfDebtSecuritiesAvailableForSale"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="NumberOfDebtSecuritiesAvailableForSale" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AvailableforsaleSecuritiesSoldAtPar" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableforsaleSecuritiesSoldAtPar"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_AvailableforsaleSecuritiesSoldAtPar" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtSecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecurities"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_DebtSecurities" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/LoansandAllowanceforCreditLossesonLoansDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesLoansAndFinancingReceivableGrossAllowanceAndNetAbstract" xlink:to="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTable" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivablePortfolioSegmentDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_FinancingReceivablePortfolioSegmentDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ResidentialPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ResidentialPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_ResidentialPortfolioSegmentMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommercialRealEstatePortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommercialRealEstatePortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_CommercialRealEstatePortfolioSegmentMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ConsumerPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ConsumerPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_ConsumerPortfolioSegmentMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommercialPortfolioSegmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommercialPortfolioSegmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivablePortfolioSegmentAxis" xlink:to="us-gaap_CommercialPortfolioSegmentMember" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTable" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RealEstateLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealEstateLoanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="us-gaap_RealEstateLoanMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancialInstrumentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialInstrumentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTable" xlink:to="us-gaap_FinancialInstrumentAxis" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_UnfundedLoanCommitmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnfundedLoanCommitmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_UnfundedLoanCommitmentMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CollateralAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CollateralAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTable" xlink:to="us-gaap_CollateralAxis" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CollateralDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CollateralDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CollateralAxis" xlink:to="us-gaap_CollateralDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_UncollateralizedMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UncollateralizedMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CollateralAxis" xlink:to="us-gaap_UncollateralizedMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InternalCreditAssessmentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InternalCreditAssessmentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTable" xlink:to="us-gaap_InternalCreditAssessmentAxis" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InternalCreditAssessmentDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InternalCreditAssessmentDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InternalCreditAssessmentAxis" xlink:to="us-gaap_InternalCreditAssessmentDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DoubtfulMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DoubtfulMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InternalCreditAssessmentAxis" xlink:to="us-gaap_DoubtfulMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_UnlikelyToBeCollectedFinancingReceivableMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnlikelyToBeCollectedFinancingReceivableMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InternalCreditAssessmentAxis" xlink:to="us-gaap_UnlikelyToBeCollectedFinancingReceivableMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PassMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PassMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_InternalCreditAssessmentAxis" xlink:to="us-gaap_PassMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LineOfCreditFacilityAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTable" xlink:to="us-gaap_LineOfCreditFacilityAxis" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LineOfCreditFacilityLenderDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityLenderDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LineOfCreditFacilityAxis" xlink:to="us-gaap_LineOfCreditFacilityLenderDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="srt_FederalHomeLoanBankOfNewYorkMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_FederalHomeLoanBankOfNewYorkMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LineOfCreditFacilityAxis" xlink:to="srt_FederalHomeLoanBankOfNewYorkMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsNotesAndLoansReceivableLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTable" xlink:to="us-gaap_AccountsNotesAndLoansReceivableLineItems" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="us-gaap_FinancingReceivableAccruedInterestAfterAllowanceForCreditLossStatementOfFinancialPositionExtensibleList" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentNonaccrualStatus" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentNonaccrualStatus"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentNonaccrualStatus" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="MortgageLoansInProcessOfForeclosureNumberOfLoans" xlink:href="gcbc-20260630.xsd#gcbc_MortgageLoansInProcessOfForeclosureNumberOfLoans"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="MortgageLoansInProcessOfForeclosureNumberOfLoans" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MortgageLoansInProcessOfForeclosureAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MortgageLoansInProcessOfForeclosureAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="us-gaap_MortgageLoansInProcessOfForeclosureAmount" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="NonaccrualLoansWithRecentHistoryOfDelinquencyGreaterThan90Days" xlink:href="gcbc-20260630.xsd#gcbc_NonaccrualLoansWithRecentHistoryOfDelinquencyGreaterThan90Days"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="NonaccrualLoansWithRecentHistoryOfDelinquencyGreaterThan90Days" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestment90DaysPastDueAndStillAccruing" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestment90DaysPastDueAndStillAccruing"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="us-gaap_FinancingReceivableRecordedInvestment90DaysPastDueAndStillAccruing" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FinancingReceivableThresholdPrincipalAmountOfCollateralDependentLoansEvaluatedIndividually" xlink:href="gcbc-20260630.xsd#gcbc_FinancingReceivableThresholdPrincipalAmountOfCollateralDependentLoansEvaluatedIndividually"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="FinancingReceivableThresholdPrincipalAmountOfCollateralDependentLoansEvaluatedIndividually" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableThresholdPeriodPastDueWriteoff" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableThresholdPeriodPastDueWriteoff"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="us-gaap_FinancingReceivableThresholdPeriodPastDueWriteoff" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="ThresholdPeriodForWriteOffOfFinancingReceivableThatHaveBeenOverdrawn" xlink:href="gcbc-20260630.xsd#gcbc_ThresholdPeriodForWriteOffOfFinancingReceivableThatHaveBeenOverdrawn"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="ThresholdPeriodForWriteOffOfFinancingReceivableThatHaveBeenOverdrawn" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OffBalanceSheetCreditLossLiability" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OffBalanceSheetCreditLossLiability"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="us-gaap_OffBalanceSheetCreditLossLiability" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NotesReceivableGross" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NotesReceivableGross"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="us-gaap_NotesReceivableGross" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="NumberOfLoanRelationshipsUpgraded" xlink:href="gcbc-20260630.xsd#gcbc_NumberOfLoanRelationshipsUpgraded"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="NumberOfLoanRelationshipsUpgraded" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="NumberOfLoanRelationshipsDowngraded" xlink:href="gcbc-20260630.xsd#gcbc_NumberOfLoanRelationshipsDowngraded"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="NumberOfLoanRelationshipsDowngraded" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FinancingReceivableIndividuallyEvaluatedAmortizedCostBasis" xlink:href="gcbc-20260630.xsd#gcbc_FinancingReceivableIndividuallyEvaluatedAmortizedCostBasis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="FinancingReceivableIndividuallyEvaluatedAmortizedCostBasis" order="13.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FinancingReceivableIndividuallyEvaluatedAllowanceForCreditLosses" xlink:href="gcbc-20260630.xsd#gcbc_FinancingReceivableIndividuallyEvaluatedAllowanceForCreditLosses"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="FinancingReceivableIndividuallyEvaluatedAllowanceForCreditLosses" order="14.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="CollateralDependentFinancingReceivableIndividuallyEvaluatedAmortizedCostBasis" xlink:href="gcbc-20260630.xsd#gcbc_CollateralDependentFinancingReceivableIndividuallyEvaluatedAmortizedCostBasis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="CollateralDependentFinancingReceivableIndividuallyEvaluatedAmortizedCostBasis" order="15.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="NumberOfLoanModified" xlink:href="gcbc-20260630.xsd#gcbc_NumberOfLoanModified"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="NumberOfLoanModified" order="16.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalHomeLoanBankAdvancesGeneralDebtObligationsDisclosuresCollateralPledged1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FederalHomeLoanBankAdvancesGeneralDebtObligationsDisclosuresCollateralPledged1"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="us-gaap_FederalHomeLoanBankAdvancesGeneralDebtObligationsDisclosuresCollateralPledged1" order="17.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RealEstateAcquiredThroughForeclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealEstateAcquiredThroughForeclosure"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_AccountsNotesAndLoansReceivableLineItems" xlink:to="us-gaap_RealEstateAcquiredThroughForeclosure" order="18.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/PremisesandEquipmentDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfPropertyPlantAndEquipmentTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentAbstract" xlink:to="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable" xlink:to="us-gaap_PropertyPlantAndEquipmentLineItems" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DepreciationNonproduction" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DepreciationNonproduction"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PropertyPlantAndEquipmentLineItems" xlink:to="us-gaap_DepreciationNonproduction" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/DepositsDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DepositsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DepositsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdvancePaymentsByBorrowersForTaxesAndInsurance" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdvancePaymentsByBorrowersForTaxesAndInsurance"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="us-gaap_AdvancePaymentsByBorrowersForTaxesAndInsurance" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="MaximumPercentageOfCombinedBrokerDeposits" xlink:href="gcbc-20260630.xsd#gcbc_MaximumPercentageOfCombinedBrokerDeposits"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="MaximumPercentageOfCombinedBrokerDeposits" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="MaximumAmountOfCombinedBrokerDeposits" xlink:href="gcbc-20260630.xsd#gcbc_MaximumAmountOfCombinedBrokerDeposits"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="MaximumAmountOfCombinedBrokerDeposits" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ContractualMaturitiesInterestBearingDomesticDepositBrokeredOver12Months" xlink:href="gcbc-20260630.xsd#gcbc_ContractualMaturitiesInterestBearingDomesticDepositBrokeredOver12Months"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DepositsAbstract" xlink:to="ContractualMaturitiesInterestBearingDomesticDepositBrokeredOver12Months" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/BorrowingsDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DebtDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtInstrumentTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtDisclosureAbstract" xlink:to="us-gaap_DebtInstrumentTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_ConsolidatedEntitiesAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ConsolidatedEntitiesAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentTable" xlink:to="srt_ConsolidatedEntitiesAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_ConsolidatedEntitiesDomain" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ConsolidatedEntitiesDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_ConsolidatedEntitiesAxis" xlink:to="srt_ConsolidatedEntitiesDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="srt_SubsidiariesMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_SubsidiariesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_ConsolidatedEntitiesAxis" xlink:to="srt_SubsidiariesMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtInstrumentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentTable" xlink:to="us-gaap_DebtInstrumentAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtInstrumentNameDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentAxis" xlink:to="us-gaap_DebtInstrumentNameDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="FederalHomeLoanBankZeroPercentDevelopmentAdvanceProgramMember" xlink:href="gcbc-20260630.xsd#gcbc_FederalHomeLoanBankZeroPercentDevelopmentAdvanceProgramMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentAxis" xlink:to="FederalHomeLoanBankZeroPercentDevelopmentAdvanceProgramMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="SubordinatedNotePurchaseAgreementOneMember" xlink:href="gcbc-20260630.xsd#gcbc_SubordinatedNotePurchaseAgreementOneMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentAxis" xlink:to="SubordinatedNotePurchaseAgreementOneMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="SubordinatedNotePurchaseAgreementTwoMember" xlink:href="gcbc-20260630.xsd#gcbc_SubordinatedNotePurchaseAgreementTwoMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentAxis" xlink:to="SubordinatedNotePurchaseAgreementTwoMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LineOfCreditFacilityAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentTable" xlink:to="us-gaap_LineOfCreditFacilityAxis" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LineOfCreditFacilityLenderDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityLenderDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LineOfCreditFacilityAxis" xlink:to="us-gaap_LineOfCreditFacilityLenderDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="srt_FederalHomeLoanBankOfNewYorkMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_FederalHomeLoanBankOfNewYorkMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LineOfCreditFacilityAxis" xlink:to="srt_FederalHomeLoanBankOfNewYorkMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FederalReserveBankMember" xlink:href="gcbc-20260630.xsd#gcbc_FederalReserveBankMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LineOfCreditFacilityAxis" xlink:to="FederalReserveBankMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="OtherFinancialInstitutionMember" xlink:href="gcbc-20260630.xsd#gcbc_OtherFinancialInstitutionMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LineOfCreditFacilityAxis" xlink:to="OtherFinancialInstitutionMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LongtermDebtTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentTable" xlink:to="us-gaap_LongtermDebtTypeAxis" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LongtermDebtTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LongtermDebtTypeAxis" xlink:to="us-gaap_LongtermDebtTypeDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="FederalHomeLoanBankMaturityPeriodOneMember" xlink:href="gcbc-20260630.xsd#gcbc_FederalHomeLoanBankMaturityPeriodOneMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LongtermDebtTypeAxis" xlink:to="FederalHomeLoanBankMaturityPeriodOneMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FederalHomeLoanBankMaturityPeriodTwoMember" xlink:href="gcbc-20260630.xsd#gcbc_FederalHomeLoanBankMaturityPeriodTwoMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LongtermDebtTypeAxis" xlink:to="FederalHomeLoanBankMaturityPeriodTwoMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FederalHomeLoanBankMaturityPeriodThreeMember" xlink:href="gcbc-20260630.xsd#gcbc_FederalHomeLoanBankMaturityPeriodThreeMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LongtermDebtTypeAxis" xlink:to="FederalHomeLoanBankMaturityPeriodThreeMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtInstrumentLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentTable" xlink:to="us-gaap_DebtInstrumentLineItems" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalHomeLoanBankAdvancesGeneralDebtObligationsDisclosuresCollateralPledged1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FederalHomeLoanBankAdvancesGeneralDebtObligationsDisclosuresCollateralPledged1"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_FederalHomeLoanBankAdvancesGeneralDebtObligationsDisclosuresCollateralPledged1" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalHomeLoanBankAdvancesGeneralDebtObligationsDisclosuresMaximumAmountAvailable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FederalHomeLoanBankAdvancesGeneralDebtObligationsDisclosuresMaximumAmountAvailable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_FederalHomeLoanBankAdvancesGeneralDebtObligationsDisclosuresMaximumAmountAvailable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FederalHomeLoanBankOvernightBorrowings" xlink:href="gcbc-20260630.xsd#gcbc_FederalHomeLoanBankOvernightBorrowings"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="FederalHomeLoanBankOvernightBorrowings" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalHomeLoanBankAdvancesLongTerm" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FederalHomeLoanBankAdvancesLongTerm"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_FederalHomeLoanBankAdvancesLongTerm" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="FederalHomeLoanBankMunicipalLettersOfCredit" xlink:href="gcbc-20260630.xsd#gcbc_FederalHomeLoanBankMunicipalLettersOfCredit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="FederalHomeLoanBankMunicipalLettersOfCredit" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalHomeLoanBankAdvancesInterestRate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FederalHomeLoanBankAdvancesInterestRate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_FederalHomeLoanBankAdvancesInterestRate" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FederalHomeLoanBankAdvancesGeneralDebtObligationsDisclosuresInterestRateAtPeriodEnd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FederalHomeLoanBankAdvancesGeneralDebtObligationsDisclosuresInterestRateAtPeriodEnd"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_FederalHomeLoanBankAdvancesGeneralDebtObligationsDisclosuresInterestRateAtPeriodEnd" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FederalHomeLoanBankMaturityPeriodLongTermFixedRate" xlink:href="gcbc-20260630.xsd#gcbc_FederalHomeLoanBankMaturityPeriodLongTermFixedRate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="FederalHomeLoanBankMaturityPeriodLongTermFixedRate" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtInstrumentCollateralAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentCollateralAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_DebtInstrumentCollateralAmount" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LineOfCredit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCredit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_LineOfCredit" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="NumberOfOtherFinancialInstitutions" xlink:href="gcbc-20260630.xsd#gcbc_NumberOfOtherFinancialInstitutions"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="NumberOfOtherFinancialInstitutions" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="NumberOfQualifiedInstitutionalInvestors" xlink:href="gcbc-20260630.xsd#gcbc_NumberOfQualifiedInstitutionalInvestors"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="NumberOfQualifiedInstitutionalInvestors" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_DebtInstrumentInterestRateStatedPercentage" order="13.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtInstrumentMaturityDate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentMaturityDate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_DebtInstrumentMaturityDate" order="14.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DebtInstrumentCarryingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentCarryingAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_DebtInstrumentCarryingAmount" order="15.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredFinanceCostsNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredFinanceCostsNet"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_DeferredFinanceCostsNet" order="16.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DebtIssuanceCostsAmortizationPeriod" xlink:href="gcbc-20260630.xsd#gcbc_DebtIssuanceCostsAmortizationPeriod"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="DebtIssuanceCostsAmortizationPeriod" order="17.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DebtInstrumentFloatingRate" xlink:href="gcbc-20260630.xsd#gcbc_DebtInstrumentFloatingRate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="DebtInstrumentFloatingRate" order="18.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RepaymentsOfSubordinatedDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RepaymentsOfSubordinatedDebt"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_RepaymentsOfSubordinatedDebt" order="19.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NotesPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NotesPayable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_NotesPayable" order="20.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherLongTermDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherLongTermDebt"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DebtInstrumentLineItems" xlink:to="us-gaap_OtherLongTermDebt" order="21.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/EmployeeBenefitPlansDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CompensationAndRetirementDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CompensationAndRetirementDisclosureAbstract" xlink:to="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" xlink:to="us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredBonusAndProfitSharingArrangementIndividualContractTypeOfDeferredCompensationDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredBonusAndProfitSharingArrangementIndividualContractTypeOfDeferredCompensationDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis" xlink:to="us-gaap_DeferredBonusAndProfitSharingArrangementIndividualContractTypeOfDeferredCompensationDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="DeferredBaseSalaryMember" xlink:href="gcbc-20260630.xsd#gcbc_DeferredBaseSalaryMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis" xlink:to="DeferredBaseSalaryMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredBonusMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredBonusMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis" xlink:to="us-gaap_DeferredBonusMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_RangeAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" xlink:to="srt_RangeAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_RangeMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RangeAxis" xlink:to="srt_RangeMember" order="0.0"/>
    <loc xlink:type="locator" xlink:label="srt_MaximumMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MaximumMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RangeAxis" xlink:to="srt_MaximumMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_MinimumMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MinimumMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RangeAxis" xlink:to="srt_MinimumMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EmployeeStockOwnershipPlanESOPDisclosuresByPlanAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EmployeeStockOwnershipPlanESOPDisclosuresByPlanAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" xlink:to="us-gaap_EmployeeStockOwnershipPlanESOPDisclosuresByPlanAxis" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EmployeeStockOwnershipPlanESOPPlanDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EmployeeStockOwnershipPlanESOPPlanDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_EmployeeStockOwnershipPlanESOPDisclosuresByPlanAxis" xlink:to="us-gaap_EmployeeStockOwnershipPlanESOPPlanDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="EmployeeStockOwnershipPlanMember" xlink:href="gcbc-20260630.xsd#gcbc_EmployeeStockOwnershipPlanMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_EmployeeStockOwnershipPlanESOPDisclosuresByPlanAxis" xlink:to="EmployeeStockOwnershipPlanMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RetirementPlanNameAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RetirementPlanNameAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" xlink:to="us-gaap_RetirementPlanNameAxis" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RetirementPlanNameDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RetirementPlanNameDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_RetirementPlanNameAxis" xlink:to="us-gaap_RetirementPlanNameDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="DefinedContributionPlanMatchingTrancheOneMember" xlink:href="gcbc-20260630.xsd#gcbc_DefinedContributionPlanMatchingTrancheOneMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_RetirementPlanNameAxis" xlink:to="DefinedContributionPlanMatchingTrancheOneMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DefinedContributionPlanMatchingTrancheTwoMember" xlink:href="gcbc-20260630.xsd#gcbc_DefinedContributionPlanMatchingTrancheTwoMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_RetirementPlanNameAxis" xlink:to="DefinedContributionPlanMatchingTrancheTwoMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RetirementPlanTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RetirementPlanTypeAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" xlink:to="us-gaap_RetirementPlanTypeAxis" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RetirementPlanTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RetirementPlanTypeDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_RetirementPlanTypeAxis" xlink:to="us-gaap_RetirementPlanTypeDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementalEmployeeRetirementPlanDefinedBenefitMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SupplementalEmployeeRetirementPlanDefinedBenefitMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_RetirementPlanTypeAxis" xlink:to="us-gaap_SupplementalEmployeeRetirementPlanDefinedBenefitMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanDisclosureLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable" xlink:to="us-gaap_DefinedBenefitPlanDisclosureLineItems" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="RequiredAgeToParticipateInDefinedBenefitPlan" xlink:href="gcbc-20260630.xsd#gcbc_RequiredAgeToParticipateInDefinedBenefitPlan"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="RequiredAgeToParticipateInDefinedBenefitPlan" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlements1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlements1"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlements1" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DefinedBenefitPlanAnnuityContractToTransferProjectedBenefitObligationsPurchaseAmount" xlink:href="gcbc-20260630.xsd#gcbc_DefinedBenefitPlanAnnuityContractToTransferProjectedBenefitObligationsPurchaseAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="DefinedBenefitPlanAnnuityContractToTransferProjectedBenefitObligationsPurchaseAmount" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanAccumulatedBenefitObligation" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanAccumulatedBenefitObligation"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanAccumulatedBenefitObligation" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanAmountsRecognizedInBalanceSheet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanAmountsRecognizedInBalanceSheet"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanAmountsRecognizedInBalanceSheet" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanBenefitObligation" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanBenefitObligation"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanBenefitObligation" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="FrozenPlanCompensationRate" xlink:href="gcbc-20260630.xsd#gcbc_FrozenPlanCompensationRate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="FrozenPlanCompensationRate" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="RequiredServicePeriodToParticipateInDefinedContributionPlan" xlink:href="gcbc-20260630.xsd#gcbc_RequiredServicePeriodToParticipateInDefinedContributionPlan"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="RequiredServicePeriodToParticipateInDefinedContributionPlan" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="MinimumOfServiceHours" xlink:href="gcbc-20260630.xsd#gcbc_MinimumOfServiceHours"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="MinimumOfServiceHours" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedContributionPlanMaximumAnnualContributionsPerEmployeePercent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedContributionPlanMaximumAnnualContributionsPerEmployeePercent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedContributionPlanMaximumAnnualContributionsPerEmployeePercent" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedContributionPlanEmployerMatchingContributionPercentOfMatch" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedContributionPlanEmployerMatchingContributionPercentOfMatch"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedContributionPlanEmployerMatchingContributionPercentOfMatch" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedContributionPlanEmployerMatchingContributionPercent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedContributionPlanEmployerMatchingContributionPercent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedContributionPlanEmployerMatchingContributionPercent" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedContributionPlanCostRecognized" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedContributionPlanCostRecognized"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedContributionPlanCostRecognized" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1" order="13.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="PaymentAuthorizedForPurchaseOfAdditionalSharesForEsop" xlink:href="gcbc-20260630.xsd#gcbc_PaymentAuthorizedForPurchaseOfAdditionalSharesForEsop"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="PaymentAuthorizedForPurchaseOfAdditionalSharesForEsop" order="14.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EmployeeStockOwnershipPlanESOPCompensationExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EmployeeStockOwnershipPlanESOPCompensationExpense"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_EmployeeStockOwnershipPlanESOPCompensationExpense" order="15.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="EmployeeStockOwnershipPlanESOPNumberOfUnearnedShares" xlink:href="gcbc-20260630.xsd#gcbc_EmployeeStockOwnershipPlanESOPNumberOfUnearnedShares"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="EmployeeStockOwnershipPlanESOPNumberOfUnearnedShares" order="16.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DefinedContributionPlanVestingPeriod" xlink:href="gcbc-20260630.xsd#gcbc_DefinedContributionPlanVestingPeriod"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="DefinedContributionPlanVestingPeriod" order="17.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="PeriodInWhichLumpSumBenefitWillBePaidInEventOfDeathDisabilityOrTermination" xlink:href="gcbc-20260630.xsd#gcbc_PeriodInWhichLumpSumBenefitWillBePaidInEventOfDeathDisabilityOrTermination"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="PeriodInWhichLumpSumBenefitWillBePaidInEventOfDeathDisabilityOrTermination" order="18.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="NumberOfAnnualInstallmentsInWhichBenefitWillBePaid" xlink:href="gcbc-20260630.xsd#gcbc_NumberOfAnnualInstallmentsInWhichBenefitWillBePaid"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="NumberOfAnnualInstallmentsInWhichBenefitWillBePaid" order="19.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost" order="20.0" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PostemploymentBenefitsLiabilityCurrentAndNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PostemploymentBenefitsLiabilityCurrentAndNoncurrent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="us-gaap_PostemploymentBenefitsLiabilityCurrentAndNoncurrent" order="21.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/StockBasedCompensationDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:to="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_RangeAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable" xlink:to="srt_RangeAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_RangeMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RangeAxis" xlink:to="srt_RangeMember" order="0.0"/>
    <loc xlink:type="locator" xlink:label="srt_MinimumMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MinimumMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RangeAxis" xlink:to="srt_MinimumMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PlanNameAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PlanNameAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable" xlink:to="us-gaap_PlanNameAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="PhantomStockOptionAndLongTermIncentivePlan2011Member" xlink:href="gcbc-20260630.xsd#gcbc_PhantomStockOptionAndLongTermIncentivePlan2011Member"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_PlanNameAxis" xlink:to="PhantomStockOptionAndLongTermIncentivePlan2011Member" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantedToDateNumber" xlink:href="gcbc-20260630.xsd#gcbc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantedToDateNumber"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:to="ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantedToDateNumber" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="ShareBasedCompensationArrangementStrikePriceOfStockOptions" xlink:href="gcbc-20260630.xsd#gcbc_ShareBasedCompensationArrangementStrikePriceOfStockOptions"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:to="ShareBasedCompensationArrangementStrikePriceOfStockOptions" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredCompensationLiabilityCurrentAndNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredCompensationLiabilityCurrentAndNoncurrent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:to="us-gaap_DeferredCompensationLiabilityCurrentAndNoncurrent" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/EarningsPerShareDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_EarningsPerShareAbstract" xlink:to="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/IncomeTaxesDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxContingencyTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxContingencyTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxDisclosureAbstract" xlink:to="us-gaap_IncomeTaxContingencyTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxAuthorityAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxAuthorityAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxContingencyTable" xlink:to="us-gaap_IncomeTaxAuthorityAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxAuthorityDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxAuthorityDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxAuthorityAxis" xlink:to="us-gaap_IncomeTaxAuthorityDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ForeignCountryMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ForeignCountryMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxAuthorityAxis" xlink:to="us-gaap_ForeignCountryMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DomesticCountryMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DomesticCountryMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxAuthorityAxis" xlink:to="us-gaap_DomesticCountryMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StateAndLocalJurisdictionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StateAndLocalJurisdictionMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxAuthorityAxis" xlink:to="us-gaap_StateAndLocalJurisdictionMember" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxContingencyLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxContingencyLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxContingencyTable" xlink:to="us-gaap_IncomeTaxContingencyLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalJurisdictionContributionGreaterThan50PercentTaxEffectExtensibleEnumeration" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalJurisdictionContributionGreaterThan50PercentTaxEffectExtensibleEnumeration"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxContingencyLineItems" xlink:to="us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalJurisdictionContributionGreaterThan50PercentTaxEffectExtensibleEnumeration" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxContingencyLineItems" xlink:to="us-gaap_IncomeTaxExpenseBenefit" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilityForUncertainTaxPositionsCurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilityForUncertainTaxPositionsCurrent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxContingencyLineItems" xlink:to="us-gaap_LiabilityForUncertainTaxPositionsCurrent" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredTaxLiabilityNotRecognizedAmountOfUnrecognizedDeferredTaxLiabilityBadDebtReserveForTaxPurposesOfQualifiedLender" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredTaxLiabilityNotRecognizedAmountOfUnrecognizedDeferredTaxLiabilityBadDebtReserveForTaxPurposesOfQualifiedLender"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxContingencyLineItems" xlink:to="us-gaap_DeferredTaxLiabilityNotRecognizedAmountOfUnrecognizedDeferredTaxLiabilityBadDebtReserveForTaxPurposesOfQualifiedLender" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OpenTaxYear" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OpenTaxYear"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_IncomeTaxContingencyLineItems" xlink:to="us-gaap_OpenTaxYear" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/CommitmentsandContingentLiabilitiesDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfFinancingReceivablesPastDueTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfFinancingReceivablesPastDueTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:to="us-gaap_ScheduleOfFinancingReceivablesPastDueTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancialInstrumentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialInstrumentAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivablesPastDueTable" xlink:to="us-gaap_FinancialInstrumentAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_UnfundedLoanCommitmentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnfundedLoanCommitmentMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancialInstrumentAxis" xlink:to="us-gaap_UnfundedLoanCommitmentMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfFinancingReceivablesPastDueTable" xlink:to="us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OffBalanceSheetCreditLossLiability" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OffBalanceSheetCreditLossLiability"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems" xlink:to="us-gaap_OffBalanceSheetCreditLossLiability" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="AllowanceForLoanAndLeaseLossPeriodIncreaseDecrease" xlink:href="gcbc-20260630.xsd#gcbc_AllowanceForLoanAndLeaseLossPeriodIncreaseDecrease"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems" xlink:to="AllowanceForLoanAndLeaseLossPeriodIncreaseDecrease" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="AllowanceForLoanAndLeaseLossesPeriodIncreaseDecreasePercentage" xlink:href="gcbc-20260630.xsd#gcbc_AllowanceForLoanAndLeaseLossesPeriodIncreaseDecreasePercentage"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems" xlink:to="AllowanceForLoanAndLeaseLossesPeriodIncreaseDecreasePercentage" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProvisionForLoanLossesExpensed" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProvisionForLoanLossesExpensed"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FinancingReceivableRecordedInvestmentPastDueLineItems" xlink:to="us-gaap_ProvisionForLoanLossesExpensed" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/DerivativeInstrumentsDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:to="us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_RangeAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:to="srt_RangeAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_RangeMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RangeAxis" xlink:to="srt_RangeMember" order="0.0"/>
    <loc xlink:type="locator" xlink:label="srt_MinimumMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MinimumMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RangeAxis" xlink:to="srt_MinimumMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_MaximumMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MaximumMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RangeAxis" xlink:to="srt_MaximumMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_HedgingDesignationAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HedgingDesignationAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:to="us-gaap_HedgingDesignationAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NondesignatedMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NondesignatedMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_HedgingDesignationAxis" xlink:to="us-gaap_NondesignatedMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeInstrumentRiskAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:to="us-gaap_DerivativeInstrumentRiskAxis" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CreditRiskContractMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditRiskContractMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentRiskAxis" xlink:to="us-gaap_CreditRiskContractMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsGainLossLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:to="us-gaap_DerivativeInstrumentsGainLossLineItems" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="RiskParticipationAgreementsParticipationOutNumberOfFinancialInstitutionCounterparties" xlink:href="gcbc-20260630.xsd#gcbc_RiskParticipationAgreementsParticipationOutNumberOfFinancialInstitutionCounterparties"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:to="RiskParticipationAgreementsParticipationOutNumberOfFinancialInstitutionCounterparties" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="DerivativeTermOfContractParticipationsout" xlink:href="gcbc-20260630.xsd#gcbc_DerivativeTermOfContractParticipationsout"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:to="DerivativeTermOfContractParticipationsout" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="OffBalanceSheetCreditExposureRiskParticipationsOut" xlink:href="gcbc-20260630.xsd#gcbc_OffBalanceSheetCreditExposureRiskParticipationsOut"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:to="OffBalanceSheetCreditExposureRiskParticipationsOut" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeAssetNotionalAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssetNotionalAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:to="us-gaap_DerivativeAssetNotionalAmount" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="RiskParticipationAgreementsParticipationInNumberOfFinancialInstitutionCounterparties" xlink:href="gcbc-20260630.xsd#gcbc_RiskParticipationAgreementsParticipationInNumberOfFinancialInstitutionCounterparties"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:to="RiskParticipationAgreementsParticipationInNumberOfFinancialInstitutionCounterparties" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeTermOfContract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeTermOfContract"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:to="us-gaap_DerivativeTermOfContract" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="OffBalanceSheetCreditExposureRiskParticipationsIn" xlink:href="gcbc-20260630.xsd#gcbc_OffBalanceSheetCreditExposureRiskParticipationsIn"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:to="OffBalanceSheetCreditExposureRiskParticipationsIn" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DerivativeLiabilityNotionalAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLiabilityNotionalAmount"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:to="us-gaap_DerivativeLiabilityNotionalAmount" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/OperatingLeasesDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_LeasesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LeasesAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingLeaseRightOfUseAssetStatementOfFinancialPositionExtensibleList" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeaseRightOfUseAssetStatementOfFinancialPositionExtensibleList"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_OperatingLeaseRightOfUseAssetStatementOfFinancialPositionExtensibleList" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingLeaseLiabilityStatementOfFinancialPositionExtensibleList" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeaseLiabilityStatementOfFinancialPositionExtensibleList"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_LeasesAbstract" xlink:to="us-gaap_OperatingLeaseLiabilityStatementOfFinancialPositionExtensibleList" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/FairValueMeasurementsandFairValueofFinancialInstrumentsDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueDisclosuresAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueDisclosuresAbstract" xlink:to="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_RangeAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="srt_RangeAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_MinimumMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MinimumMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RangeAxis" xlink:to="srt_MinimumMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_MaximumMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MaximumMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RangeAxis" xlink:to="srt_MaximumMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MeasurementInputTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MeasurementInputTypeAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="us-gaap_MeasurementInputTypeAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MeasurementInputDiscountForLackOfMarketabilityMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MeasurementInputDiscountForLackOfMarketabilityMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_MeasurementInputTypeAxis" xlink:to="us-gaap_MeasurementInputDiscountForLackOfMarketabilityMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="us-gaap_FairValueByFairValueHierarchyLevelAxis" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueInputsLevel3Member" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="us-gaap_FairValueInputsLevel3Member" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="CollateralDependentEvaluatedLoansMeasurementInput" xlink:href="gcbc-20260630.xsd#gcbc_CollateralDependentEvaluatedLoansMeasurementInput"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:to="CollateralDependentEvaluatedLoansMeasurementInput" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/RegulatoryMattersDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="srt_RegulatoryCapitalRequirementsAbstract" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RegulatoryCapitalRequirementsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_RegulatoryCapitalRequirementsAbstract" xlink:to="us-gaap_ScheduleOfComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_ConsolidatedEntitiesAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ConsolidatedEntitiesAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsTable" xlink:to="srt_ConsolidatedEntitiesAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_ParentCompanyMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ParentCompanyMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_ConsolidatedEntitiesAxis" xlink:to="srt_ParentCompanyMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_SubsidiariesMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_SubsidiariesMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_ConsolidatedEntitiesAxis" xlink:to="srt_SubsidiariesMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="GreeneCountyCommercialBankMember" xlink:href="gcbc-20260630.xsd#gcbc_GreeneCountyCommercialBankMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_ConsolidatedEntitiesAxis" xlink:to="GreeneCountyCommercialBankMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ScheduleOfComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsTable" xlink:to="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="CommonEquityTierOneRiskBasedCapitalRequiredForCapitalConservationBufferToRiskWeightedAssets" xlink:href="gcbc-20260630.xsd#gcbc_CommonEquityTierOneRiskBasedCapitalRequiredForCapitalConservationBufferToRiskWeightedAssets"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_ComplianceWithRegulatoryCapitalRequirementsUnderBankingRegulationsLineItems" xlink:to="CommonEquityTierOneRiskBasedCapitalRequiredForCapitalConservationBufferToRiskWeightedAssets" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/SubsequenteventsDetails" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="us-gaap_SubsequentEventsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventsAbstract"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SubsequentEventTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SubsequentEventsAbstract" xlink:to="us-gaap_SubsequentEventTable" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DividendsAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SubsequentEventTable" xlink:to="us-gaap_DividendsAxis" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="O2026Q4DividendsMember" xlink:href="gcbc-20260630.xsd#gcbc_O2026Q4DividendsMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DividendsAxis" xlink:to="O2026Q4DividendsMember" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="O2026ADividendsMember" xlink:href="gcbc-20260630.xsd#gcbc_O2026ADividendsMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DividendsAxis" xlink:to="O2026ADividendsMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="O2025ADividendsMember" xlink:href="gcbc-20260630.xsd#gcbc_O2025ADividendsMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_DividendsAxis" xlink:to="O2025ADividendsMember" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="srt_StatementScenarioAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_StatementScenarioAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SubsequentEventTable" xlink:to="srt_StatementScenarioAxis" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="srt_ScenarioUnspecifiedDomain" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ScenarioUnspecifiedDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_StatementScenarioAxis" xlink:to="srt_ScenarioUnspecifiedDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="srt_ScenarioForecastMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ScenarioForecastMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="srt_StatementScenarioAxis" xlink:to="srt_ScenarioForecastMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SubsequentEventTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SubsequentEventTable" xlink:to="us-gaap_SubsequentEventTypeAxis" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SubsequentEventTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SubsequentEventTypeAxis" xlink:to="us-gaap_SubsequentEventTypeDomain" order="0.0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SubsequentEventMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventMember"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SubsequentEventTypeAxis" xlink:to="us-gaap_SubsequentEventMember" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SubsequentEventLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SubsequentEventTable" xlink:to="us-gaap_SubsequentEventLineItems" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/label"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DividendsPayableDateDeclaredDayMonthAndYear" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsPayableDateDeclaredDayMonthAndYear"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SubsequentEventLineItems" xlink:to="us-gaap_DividendsPayableDateDeclaredDayMonthAndYear" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockDividendsPerShareDeclared" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockDividendsPerShareDeclared"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SubsequentEventLineItems" xlink:to="us-gaap_CommonStockDividendsPerShareDeclared" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DividendsPayableAmountPerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsPayableAmountPerShare"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SubsequentEventLineItems" xlink:to="us-gaap_DividendsPayableAmountPerShare" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="PercentageOfIncreaseInCashDividendRate" xlink:href="gcbc-20260630.xsd#gcbc_PercentageOfIncreaseInCashDividendRate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SubsequentEventLineItems" xlink:to="PercentageOfIncreaseInCashDividendRate" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DividendsPayableDateOfRecordDayMonthAndYear" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsPayableDateOfRecordDayMonthAndYear"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SubsequentEventLineItems" xlink:to="us-gaap_DividendsPayableDateOfRecordDayMonthAndYear" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DividendPayableDateToBePaidDayMonthAndYear" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendPayableDateToBePaidDayMonthAndYear"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="us-gaap_SubsequentEventLineItems" xlink:to="us-gaap_DividendPayableDateToBePaidDayMonthAndYear" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
  <presentationLink xlink:role="http://thebankofgreenecounty.com/role/DocumentAndEntityInformation" xlink:type="extended">
    <loc xlink:type="locator" xlink:label="DocumentAndEntityInformationAbstract" xlink:href="gcbc-20260630.xsd#gcbc_DocumentAndEntityInformationAbstract"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentInformationTable" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentInformationTable"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="DocumentAndEntityInformationAbstract" xlink:to="dei_DocumentInformationTable" order="1.0"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentInformationLineItems" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentInformationLineItems"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationTable" xlink:to="dei_DocumentInformationLineItems" order="1.0"/>
    <loc xlink:type="locator" xlink:label="dei_EntityCentralIndexKey" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCentralIndexKey"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityCentralIndexKey" order="0.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentType" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentType"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_DocumentType" order="1.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentAnnualReport" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentAnnualReport"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_DocumentAnnualReport" order="2.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_CurrentFiscalYearEndDate" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CurrentFiscalYearEndDate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_CurrentFiscalYearEndDate" order="3.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentPeriodEndDate" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentPeriodEndDate"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_DocumentPeriodEndDate" order="4.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentFiscalYearFocus" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentFiscalYearFocus"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_DocumentFiscalYearFocus" order="5.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentTransitionReport" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentTransitionReport"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_DocumentTransitionReport" order="6.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityFileNumber" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityFileNumber"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityFileNumber" order="7.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityRegistrantName" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityRegistrantName"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityRegistrantName" order="8.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityIncorporationStateCountryCode" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityIncorporationStateCountryCode"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityIncorporationStateCountryCode" order="9.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityTaxIdentificationNumber" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityTaxIdentificationNumber"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityTaxIdentificationNumber" order="10.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityAddressAddressLine1" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressAddressLine1"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityAddressAddressLine1" order="11.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityAddressCityOrTown" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressCityOrTown"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityAddressCityOrTown" order="12.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityAddressStateOrProvince" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressStateOrProvince"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityAddressStateOrProvince" order="13.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityAddressPostalZipCode" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressPostalZipCode"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityAddressPostalZipCode" order="14.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_CityAreaCode" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CityAreaCode"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_CityAreaCode" order="15.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_LocalPhoneNumber" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_LocalPhoneNumber"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_LocalPhoneNumber" order="16.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_Security12bTitle" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_Security12bTitle"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_Security12bTitle" order="17.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_TradingSymbol" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_TradingSymbol"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_TradingSymbol" order="18.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_SecurityExchangeName" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SecurityExchangeName"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_SecurityExchangeName" order="19.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityWellKnownSeasonedIssuer" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityWellKnownSeasonedIssuer"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityWellKnownSeasonedIssuer" order="20.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityVoluntaryFilers" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityVoluntaryFilers"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityVoluntaryFilers" order="21.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityCurrentReportingStatus" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCurrentReportingStatus"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityCurrentReportingStatus" order="22.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityInteractiveDataCurrent" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityInteractiveDataCurrent"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityInteractiveDataCurrent" order="23.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityFilerCategory" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityFilerCategory"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityFilerCategory" order="24.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntitySmallBusiness" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntitySmallBusiness"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntitySmallBusiness" order="25.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityEmergingGrowthCompany" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityEmergingGrowthCompany"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityEmergingGrowthCompany" order="26.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_IcfrAuditorAttestationFlag" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_IcfrAuditorAttestationFlag"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_IcfrAuditorAttestationFlag" order="27.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentFinStmtErrorCorrectionFlag" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentFinStmtErrorCorrectionFlag"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_DocumentFinStmtErrorCorrectionFlag" order="28.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityShellCompany" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityShellCompany"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityShellCompany" order="29.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityPublicFloat" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityPublicFloat"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityPublicFloat" order="30.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_EntityCommonStockSharesOutstanding" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCommonStockSharesOutstanding"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_EntityCommonStockSharesOutstanding" order="31.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_AuditorName" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_AuditorName"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_AuditorName" order="32.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_AuditorLocation" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_AuditorLocation"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_AuditorLocation" order="33.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_AuditorFirmId" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_AuditorFirmId"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_AuditorFirmId" order="34.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_AmendmentFlag" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_AmendmentFlag"/>
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_AmendmentFlag" order="35.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentFiscalPeriodFocus" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentFiscalPeriodFocus"/>
<!-- [WMV7][xiwxJIvNIRav6qG9zZMNCoPoC6iGa7wA32xipELNHoH5x386aIK+KYGg3ZofQBwkP8WuMMp0huPKeR/5mbue7Ohj7RPEw4UjTkqVunEZ/VcPM77nQ/vKEmX27xg9QksJ9PIA23XnbLxpTmJElnZW/jHIw4iXnH0AleT+Cow4ZLbOkoBJ83IiN7a8jVoFmhy8EYuZcxjvQwyivUsc+wmohqDCOyEtWsZ9nJgVJi/nM84M/e0uT6iSXJ0Di7bxFK74jgRtFtWxwQBuY62xLbJjhA5MMoprt2QZIQXKMRevw0mBivCXSqzlSGe9UxlKeH+Ywy+atAn7kZenTCY5yOOj95IPrbQ2DLSW0LEHwofD0H4ZTA==] CSR-->
    <presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="dei_DocumentInformationLineItems" xlink:to="dei_DocumentFiscalPeriodFocus" order="36.0" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </presentationLink>
</linkbase>
