diff --git a/glibc.spec b/glibc.spec
index 1be4f03..5325ca7 100644
--- a/glibc.spec
+++ b/glibc.spec
@@ -157,7 +157,7 @@ end \
 Summary: The GNU libc libraries
 Name: glibc
 Version: %{glibcversion}
-Release: 220%{?dist}
+Release: 221%{?dist}
 
 # In general, GPLv2+ is used by programs, LGPLv2+ is used for
 # libraries.
@@ -1349,6 +1349,9 @@ Provides: rtld(GNU_HASH)
 
 # We need libgcc for cancellation support in POSIX threads.
 Requires: libgcc%{_isa}
+# Encourage the package manager to break the libgcc/glibc dependency
+# cycle by installing libgcc first.  (This is the historic installation order.)
+Requires(pre): libgcc%{_isa}
 
 Requires: glibc-common = %{version}-%{release}
 
@@ -3322,6 +3325,9 @@ update_gconv_modules_cache ()
 %endif
 
 %changelog
+* Tue Jul 29 2025 Florian Weimer  <fweimer@redhat.com> - 2.34-221
+- Use Requires(pre): libgcc%%{_isa} to libgcc cycle (RHEL-106166)
+
 * Mon Jul 28 2025 Frédéric Bérat <fberat@redhat.com> - 2.34-220
 - Revert downstream changes as `_dl_find_object` has been backported
   (RHEL-105957)