Guitar processor noise...? BZZZZZZ!

2 Prong Cords to Both the Amp And The Pedal?!? Well, Did that ever work before or is it suddenly making a new noise?
You should try it on a Wet Garage Floor in Bare Feet and That will Quickly let you know if... No, Don't Try That!
If That Crate Amp has a Three wire cord you should at least have an adapter on it that screws to the outlet...
and try the wire to a pipe and touch it to the Bridge of the Bass, if nothing changes there put everything on carpet to isolate it from the floor and try again?