Not a real pilot, but after a search for the landing perfomance for both types, Boeing's info says a landing field length at MLW of 1,550m to 1,840m for 777 variants and 1,300m to 1,600m for 737 variants.
Commercial aircraft land at the same airports, so I'd expect the published maximum specs to be similar. In the real world, I'd suppose that longer roll outs save wear and tear on brakes and engines.