It depends on what criteria you use to judge.
Song writing?(Dylan)
Number of hit singles? (Stones)
Live performances? (Stones win hands down)
Influence on the direction of popular music? (lots to chose from besides the Beatles)
Number of gold albums? (not sure)
Longevity? (Stones)
The Beatles were a commodity created by Epstien. When they figured this out they reacted by embracing far eastern culture, they got lazy and quit touring, and when they couldn't agree on who was the god of songwriting they broke up. (with a little help from Yoko)
They were a fad that lasted 4 years, and hung on for another 3.
Incidentally, who do you think has sold the most albums of any pop star ever?
Barbara Streisand.