This differs from this question How to turn off Facebook notifications on Mac OS X?
The notifications are different to the rounded banner alerts I get, and in fact, before I disabled the other rounded banners, I was getting TWO Facebook notifications for every alert.
Here's how the notifications I'm getting looks.
Note how it's different to the normal rounder banners you get in Mavericks, such as the prompt to update software (see below).
I have disabled Facebook in the notification centre, which got rid of the rounded banners.
I have also turned Do not disturb on!!