@Peter:Technically, TEF has five different versions which are recognized variously by different organizations. They're all at the same difficulty level.
The TEFAQ is specifically aimed at candidates wishing to immigrate to Québec, which has only two mandatory components, Listening and Speaking, whereas TEF has three, Listening, Reading, Vocabulary and structure, the speaking part is optional. However, you must take speaking test for TEF in order to meet PEQ language requirements.