The pair were two of the biggest artists of the 1960s and are often lumped into the same musical category.
But Davies insists they have always made different music.
He says "There's never been a competitive edge. We're not even in the same world. We write about different things. He (McCartney) writes some brilliant songs, although some of them do make me laugh. I just wish he still had John Lennon with him to bring him down to earth."