diff --git a/jwt/api_jwk.py b/jwt/api_jwk.py
index b6b33790..370c9aab 100644
--- a/jwt/api_jwk.py
+++ b/jwt/api_jwk.py
@@ -114,10 +114,10 @@ def key_type(self) -> str | None:
         return self._jwk_data.get("kty", None)
 
     @property
-    def key_id(self) -> str | None:
+    def key_id(self) -> int | str | None:
         """The `kid` property from the JWK.
 
-        :rtype: str or None
+        :rtype: int, str, or None
         """
         return self._jwk_data.get("kid", None)
 
diff --git a/jwt/jwks_client.py b/jwt/jwks_client.py
index 120eb256..3c8c4f71 100644
--- a/jwt/jwks_client.py
+++ b/jwt/jwks_client.py
@@ -121,7 +121,7 @@ def match_kid(signing_keys: List[PyJWK], kid: str) -> Optional[PyJWK]:
         signing_key = None
 
         for key in signing_keys:
-            if key.key_id == kid:
+            if str(key.key_id) == kid:
                 signing_key = key
                 break