Why does Ubuntu keep asking for my gmail password?

Solution 1:

I was facing the same issue and got rid of it by just removing the evolution and goa-1.0 folders from my ~/.config.

Solution 2:

Well I haven't managed to find out exactly why I'm getting asked for the password, but I've managed to stop it happening. I renamed my ~/.config directory and then let the logout/login process create a new one. Then by a long process of copying entries from my old .config to my new one, I've found out that the problem lies somewhere in the three directories evolution, desktop-couch and goa-1.0. As the prompt has stopped and I don't use evolution ( and I don't know what desktop-couch or goa-1.0 are) I've left it at that.

Hopefully this will let someone else fix their system and/or explain what is going on.