I have enable 2-Factor authentication on google. I want to clear all the cookies in my browser (firefox/iceweasel) at the end of the session while retaining the "remember for 30 days" feature. I've tried rules for retaining specific cookies from accounts.google.com, google.com, google.co.in, etc, but it appears that either I stay logged in, or I have to log in with the second factor.
So the question is: 1. Is the "remember.." feature working only via cookies? 2. Are the cookies allowing login separate from those allowing second factor authentication? If yes, which cookies do I retain?