Gnome Necro Faction in Ak'Anon
 

Is there an easy repeatable quest for gnome necros to improve faction in their home city like bandage quest in Misty for Rivervale?

I don't know about easy, but you can start looking through your options here:

https://wiki.project1999.com/Eldritch_Collective
https://wiki.project1999.com/Gem_Choppers
https://wiki.project1999.com/King_Ak%27Anon_(Faction)

Thanks, will do!