diff --git a/rest_framework/schemas/coreapi.py b/rest_framework/schemas/coreapi.py
index 5cf789f9f..a2252ff79 100644
--- a/rest_framework/schemas/coreapi.py
+++ b/rest_framework/schemas/coreapi.py
@@ -20,7 +20,18 @@ from .utils import get_pk_description, is_list_view
 header_regex = re.compile('^[a-zA-Z][0-9A-Za-z_]*:')
 
 # Generator #
-# TODO: Pull some of this into base.
+
+
+def common_path(paths):
+    split_paths = [path.strip('/').split('/') for path in paths]
+    s1 = min(split_paths)
+    s2 = max(split_paths)
+    common = s1
+    for i, c in enumerate(s1):
+        if c != s2[i]:
+            common = s1[:i]
+            break
+    return '/' + '/'.join(common)
 
 
 def is_custom_action(action):
@@ -209,6 +220,37 @@ class SchemaGenerator(BaseSchemaGenerator):
         # Default action, eg "/users/", "/users/{pk}/"
         return named_path_components + [action]
 
+    def determine_path_prefix(self, paths):
+        """
+        Given a list of all paths, return the common prefix which should be
+        discounted when generating a schema structure.
+
+        This will be the longest common string that does not include that last
+        component of the URL, or the last component before a path parameter.
+
+        For example:
+
+        /api/v1/users/
+        /api/v1/users/{pk}/
+
+        The path prefix is '/api/v1'
+        """
+        prefixes = []
+        for path in paths:
+            components = path.strip('/').split('/')
+            initial_components = []
+            for component in components:
+                if '{' in component:
+                    break
+                initial_components.append(component)
+            prefix = '/'.join(initial_components[:-1])
+            if not prefix:
+                # We can just break early in the case that there's at least
+                # one URL that doesn't have a path prefix.
+                return '/'
+            prefixes.append('/' + prefix + '/')
+        return common_path(prefixes)
+
 # View Inspectors #
 
 
diff --git a/rest_framework/schemas/generators.py b/rest_framework/schemas/generators.py
index c80ace7d3..a656c3ba5 100644
--- a/rest_framework/schemas/generators.py
+++ b/rest_framework/schemas/generators.py
@@ -18,18 +18,6 @@ from rest_framework.settings import api_settings
 from rest_framework.utils.model_meta import _get_pk
 
 
-def common_path(paths):
-    split_paths = [path.strip('/').split('/') for path in paths]
-    s1 = min(split_paths)
-    s2 = max(split_paths)
-    common = s1
-    for i, c in enumerate(s1):
-        if c != s2[i]:
-            common = s1[:i]
-            break
-    return '/' + '/'.join(common)
-
-
 def get_pk_name(model):
     meta = model._meta.concrete_model._meta
     return _get_pk(meta).name
@@ -236,37 +224,6 @@ class BaseSchemaGenerator(object):
     def get_schema(self, request=None, public=False):
         raise NotImplementedError(".get_schema() must be implemented in subclasses.")
 
-    def determine_path_prefix(self, paths):
-        """
-        Given a list of all paths, return the common prefix which should be
-        discounted when generating a schema structure.
-
-        This will be the longest common string that does not include that last
-        component of the URL, or the last component before a path parameter.
-
-        For example:
-
-        /api/v1/users/
-        /api/v1/users/{pk}/
-
-        The path prefix is '/api/v1'
-        """
-        prefixes = []
-        for path in paths:
-            components = path.strip('/').split('/')
-            initial_components = []
-            for component in components:
-                if '{' in component:
-                    break
-                initial_components.append(component)
-            prefix = '/'.join(initial_components[:-1])
-            if not prefix:
-                # We can just break early in the case that there's at least
-                # one URL that doesn't have a path prefix.
-                return '/'
-            prefixes.append('/' + prefix + '/')
-        return common_path(prefixes)
-
     def has_view_permissions(self, path, method, view):
         """
         Return `True` if the incoming request has the correct view permissions.