<?xml version="1.0" encoding="US-ASCII"?>
<!-- Generated by Broadridge Transform (tm) - http://www.broadridge.com -->
<!-- Created: Fri Jun 26 02:10:22 UTC 2026 -->
<xs:schema elementFormDefault="qualified" targetNamespace="http://www.glenmedeim.com/20251031" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:gfi="http://www.glenmedeim.com/20251031" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:us-types="http://xbrl.us/us-types/2009-01-31" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:dtr="http://www.xbrl.org/dtr/type/2024-01-31" xmlns:xbrli="http://www.xbrl.org/2003/instance">
  <xs:annotation>
    <xs:appinfo>
      <link:linkbaseRef xlink:type="simple" xlink:href="gfi-20251031_lab.xml" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef"/>
      <link:linkbaseRef xlink:type="simple" xlink:href="gfi-20251031_pre.xml" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef"/>
      <link:linkbaseRef xlink:type="simple" xlink:href="gfi-20251031_def.xml" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef"/>
    </xs:appinfo>
  </xs:annotation>
  <xs:import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd"/>
  <xs:import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/oef/2026" schemaLocation="https://xbrl.sec.gov/oef/2026/oef-2026.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/oef-rr/2026" schemaLocation="https://xbrl.sec.gov/oef/2026/oef-rr-2026.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/fnd-oef/2026" schemaLocation="https://xbrl.sec.gov/fnd/2026/fnd-oef-2026.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/dei/2026" schemaLocation="https://xbrl.sec.gov/dei/2026/dei-2026.xsd"/>
  <xs:import namespace="http://www.xbrl.org/2009/role/negated" schemaLocation="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd"/>
  <xs:import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd"/>
  <xs:import namespace="http://xbrl.org/2005/xbrldt" schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd"/>
  <xs:element name="S000059607Member" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="gfi_S000059607Member"/>
  <xs:element name="S000055943Member" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="gfi_S000055943Member"/>
<!-- [WMV7][Zo2BwKdmw/r5dk6sdXYUx0aWA+5Fp0+Ka5958/PR48EIfJnpwdop575ti5U8zxvmbCNjP70hDxrQU5J/TuaBFjj+TwX5nVye5iac9ao1rhpwwcKgyGz+BwuDufcuKybb1p/isIycIEpdm0Ixxnb8mpO6VE9zdcYwWgVi23Xb6OupG14BUCbjx+JGkAU2eHD0+DN+gIXDdt7B784oChwcDYbOHtVe9eNY+PHdkI1nvzw/WWX5gTIblbFzozq9Ge5chWByelSlS/qFsNGVApt5Mg6scodBeGRm5JR6NLqwAeKJbbut0hgDgirYfvMAvmu2z/ZsZp95fNkHxr1r04i4J5nOo6wyFDPIv9F6] CSR-->
  <xs:element name="DividendPayingSecurityRiskMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="gfi_DividendPayingSecurityRiskMember"/>
</xs:schema>
