A tfc file extension contains cache of textures used for 3D objects in computer games. It is associated with Unreal 3 video game engine. Games like Batman: Arkham City and Mass Effect use these textures to skin models. The files can be opened in Unreal Development Kit. They likely cannot be converted to other formats.
To open an unknown tfc file in Windows, the extension must be associated with software that can open it. Many files contain simple text. The Windows Registry must be updated to associate tfc with appropriate software.
Tfc files are used by video games made with Unreal Engine 3. Games apply skins to 3D models using the textures in tfc files. Examples are Batman: Arkham City, Rocket League, and Mass Effect 2 and 3.
Problems with tfc files can be solved by associating them with software that opens them. Any available updates to that software should be installed. Updates support the latest tfc format.