As the F galley, crew seats and cockpit are in front of the F cabin in the 777 you may find that there is noticeably more ground, flight and cabin crew traffic through the F cabin while on the ground and in the air.
The 747 F cabin certainly feels more quiet, private and exclusive.
OTOH I like being able to peer through the windscreens of the 777 aircraft whie it is on the ground and the cockpit door is open - can't do this in F on a 747