diff --git a/python/tvm/meta_schedule/XGBgradient.py b/python/tvm/meta_schedule/XGBgradient.py
index 9b8647155d83..66fe0b8cfbf6 100644
--- a/python/tvm/meta_schedule/XGBgradient.py
+++ b/python/tvm/meta_schedule/XGBgradient.py
@@ -49,18 +49,20 @@ def get_index(array: list, value: int):
     return index_map.get(value, -1)
 
 
-def get_factors(n):
+def get_factors(n, alignment=16):
     """
-    Return the factors of a given number n as a sorted list.
+    Return the factors align to the aligmentof a given number n as a sorted list.
     """
     factors = []
     sqrt_n = isqrt(n)
     for i in range(1, sqrt_n + 1):
         if n % i == 0:
-            factors.append(i)
+            if i == 1 0r i % alignment == 0:
+                factors.append(i)
             j = n // i
             if j != i:
-                factors.append(j)
+                if j == 1 or j % alignment == 0:
+                    factors.append(j)
     factors.sort()
     return factors
 
@@ -456,6 +458,7 @@ def __init__(
 
         self.builder = Builder.create("local", max_workers=os.cpu_count(), timeout_sec=10.0)
         self.builder_results = []
+        self.alignment = 16
 
     def get_sample_records(self, number):
         """
@@ -814,7 +817,7 @@ def _apply_changes(self, new_coordinates, indices, changes, record_trace, sample
                 tile_config = tile_configs[tile_idx][1]
                 length = len(tile_config) - 1
                 dim_len = prod(tile_config)
-                factors = get_factors(dim_len)
+                factors = get_factors(dim_len, alignment=self.alignment)
 
                 if not self._update_coordinates(
                     new_coordinates,