diff --git a/pandas/core/arrays/boolean.py b/pandas/core/arrays/boolean.py
index 2dba557eda169..7515b99ca15a5 100644
--- a/pandas/core/arrays/boolean.py
+++ b/pandas/core/arrays/boolean.py
@@ -64,10 +64,8 @@ class BooleanDtype(BaseMaskedDtype):
 
     name = "boolean"
 
-    # https://github.com/python/mypy/issues/4125
-    # error: Signature of "type" incompatible with supertype "BaseMaskedDtype"
     @property
-    def type(self) -> type:  # type: ignore[override]
+    def type(self) -> type[np.bool_]:
         return np.bool_
 
     @property
diff --git a/pandas/core/dtypes/dtypes.py b/pandas/core/dtypes/dtypes.py
index 2909b24840831..aa9a2967e9dbf 100644
--- a/pandas/core/dtypes/dtypes.py
+++ b/pandas/core/dtypes/dtypes.py
@@ -38,6 +38,7 @@
     npt,
     type_t,
 )
+from pandas.util._decorators import doc
 
 from pandas.core.dtypes.base import (
     ExtensionDtype,
@@ -79,7 +80,6 @@ class PandasExtensionDtype(ExtensionDtype):
     THIS IS NOT A REAL NUMPY DTYPE
     """
 
-    type: Any
     kind: Any
     # The Any type annotations above are here only because mypy seems to have a
     # problem dealing with multiple inheritance from PandasExtensionDtype
@@ -176,13 +176,17 @@ class CategoricalDtype(PandasExtensionDtype, ExtensionDtype):
 
     # TODO: Document public vs. private API
     name = "category"
-    type: type[CategoricalDtypeType] = CategoricalDtypeType
     kind: str_type = "O"
     str = "|O08"
     base = np.dtype("O")
     _metadata = ("categories", "ordered")
     _cache_dtypes: dict[str_type, PandasExtensionDtype] = {}
 
+    @property
+    @doc(ExtensionDtype.type)
+    def type(self) -> type[CategoricalDtypeType]:
+        return CategoricalDtypeType
+
     def __init__(self, categories=None, ordered: Ordered = False) -> None:
         self._finalize(categories, ordered, fastpath=False)
 
@@ -666,7 +670,6 @@ class DatetimeTZDtype(PandasExtensionDtype):
     datetime64[ns, tzfile('/usr/share/zoneinfo/US/Central')]
     """
 
-    type: type[Timestamp] = Timestamp
     kind: str_type = "M"
     num = 101
     base = np.dtype("M8[ns]")  # TODO: depend on reso?
@@ -674,6 +677,11 @@ class DatetimeTZDtype(PandasExtensionDtype):
     _match = re.compile(r"(datetime64|M8)\[(?P<unit>.+), (?P<tz>.+)\]")
     _cache_dtypes: dict[str_type, PandasExtensionDtype] = {}
 
+    @property
+    @doc(ExtensionDtype.type)
+    def type(self) -> type[Timestamp]:
+        return Timestamp
+
     @property
     def na_value(self) -> NaTType:
         return NaT
@@ -847,7 +855,6 @@ class PeriodDtype(PeriodDtypeBase, PandasExtensionDtype):
     period[M]
     """
 
-    type: type[Period] = Period
     kind: str_type = "O"
     str = "|O08"
     base = np.dtype("O")
@@ -856,6 +863,11 @@ class PeriodDtype(PeriodDtypeBase, PandasExtensionDtype):
     _match = re.compile(r"(P|p)eriod\[(?P<freq>.+)\]")
     _cache_dtypes: dict[str_type, PandasExtensionDtype] = {}
 
+    @property
+    @doc(ExtensionDtype.type)
+    def type(self) -> type[Period]:
+        return Period
+
     def __new__(cls, freq=None):
         """
         Parameters
@@ -1407,7 +1419,6 @@ class BaseMaskedDtype(ExtensionDtype):
 
     name: str
     base = None
-    type: type
 
     @property
     def na_value(self) -> libmissing.NAType:
diff --git a/pandas/core/reshape/merge.py b/pandas/core/reshape/merge.py
index 2752efd850933..a0826ed138738 100644
--- a/pandas/core/reshape/merge.py
+++ b/pandas/core/reshape/merge.py
@@ -2441,12 +2441,7 @@ def _convert_arrays_and_get_rizer_klass(
             else:
                 lk = lk.astype(dtype)
                 rk = rk.astype(dtype)
-        if isinstance(lk, BaseMaskedArray):
-            #  Invalid index type "type" for "Dict[Type[object], Type[Factorizer]]";
-            #  expected type "Type[object]"
-            klass = _factorizers[lk.dtype.type]  # type: ignore[index]
-        else:
-            klass = _factorizers[lk.dtype.type]
+        klass = _factorizers[lk.dtype.type]
 
     else:
         klass = libhashtable.ObjectFactorizer