diff --git a/src/array_api_extra/_lib/_funcs.py b/src/array_api_extra/_lib/_funcs.py
index 0af265e2..384a6db1 100644
--- a/src/array_api_extra/_lib/_funcs.py
+++ b/src/array_api_extra/_lib/_funcs.py
@@ -335,7 +335,13 @@ def isclose(
     atol = int(atol)
     if rtol == 0:
         return xp.abs(a - b) <= atol
-    nrtol = int(1.0 / rtol)
+
+    try:
+        nrtol = xp.asarray(int(1.0 / rtol), dtype=b.dtype)
+    except OverflowError:
+        # rtol * max_int(dtype) < 1, so it's inconsequential
+        return xp.abs(a - b) <= atol
+
     return xp.abs(a - b) <= (atol + xp.abs(b) // nrtol)
 
 
diff --git a/tests/test_funcs.py b/tests/test_funcs.py
index ef1a1fc2..eee65145 100644
--- a/tests/test_funcs.py
+++ b/tests/test_funcs.py
@@ -354,6 +354,13 @@ def test_tolerance(self, dtype: str, xp: ModuleType):
         xp_assert_equal(isclose(a, b, rtol=0), xp.asarray([False, False]))
         xp_assert_equal(isclose(a, b, atol=1, rtol=0), xp.asarray([True, False]))
 
+    @pytest.mark.parametrize("dtype", ["int8", "uint8"])
+    def test_tolerance_integer_overflow(self, dtype: str, xp: ModuleType):
+        """1/rtol is too large for dtype"""
+        a = xp.asarray([100, 100], dtype=getattr(xp, dtype))
+        b = xp.asarray([100, 101], dtype=getattr(xp, dtype))
+        xp_assert_equal(isclose(a, b), xp.asarray([True, False]))
+
     def test_very_small_numbers(self, xp: ModuleType):
         a = xp.asarray([1e-9, 1e-9])
         b = xp.asarray([1.0001e-9, 1.00001e-9])