diff --git a/pydantic/fields.py b/pydantic/fields.py
index 36a31df3e2..a8a34d822f 100644
--- a/pydantic/fields.py
+++ b/pydantic/fields.py
@@ -113,7 +113,7 @@ def __init__(self, **kwargs: Any) -> None:
         self.default_factory = kwargs.get('default_factory')
 
         if self.default is not Undefined and self.default_factory is not None:
-            raise ValueError('cannot specify both default and default_factory')
+            raise TypeError('cannot specify both default and default_factory')
 
         self.alias = kwargs.get('alias')
         self.alias_priority = kwargs.get('alias_priority') or 2 if self.alias is not None else None
@@ -732,7 +732,7 @@ def PrivateAttr(
         ValueError: If both `default` and `default_factory` are set.
     """
     if default is not Undefined and default_factory is not None:
-        raise ValueError('cannot specify both default and default_factory')
+        raise TypeError('cannot specify both default and default_factory')
 
     return ModelPrivateAttr(
         default,
diff --git a/tests/test_main.py b/tests/test_main.py
index a8f7b69088..c664720f03 100644
--- a/tests/test_main.py
+++ b/tests/test_main.py
@@ -1376,7 +1376,7 @@ class MyModel(BaseModel):
 
 
 def test_two_defaults():
-    with pytest.raises(ValueError, match='^cannot specify both default and default_factory$'):
+    with pytest.raises(TypeError, match='^cannot specify both default and default_factory$'):
 
         class Model(BaseModel):
             a: int = Field(default=3, default_factory=lambda: 3)
diff --git a/tests/test_private_attributes.py b/tests/test_private_attributes.py
index 4c5783a0d7..9119528da8 100644
--- a/tests/test_private_attributes.py
+++ b/tests/test_private_attributes.py
@@ -194,7 +194,7 @@ def __init__(self):
 
 
 def test_default_and_default_factory_used_error():
-    with pytest.raises(ValueError, match='cannot specify both default and default_factory'):
+    with pytest.raises(TypeError, match='cannot specify both default and default_factory'):
         PrivateAttr(default=123, default_factory=lambda: 321)