Paul McCartney and the Beatles split up in 1970, after making the world a richer place and making tunes that never die, but the legal ramifications took years before The Beatles were legally split in 1975.
The last Beatles album "Let It Be" in 1970, included the tracks "Get Back" and the "Long and Winding Road"
All the Beatles had hits after the group was dissolved, but McCartney was the one that seemed to have no problem with the hits continuing. The Beatles still had Greatest Hits out through the 1970s, and it therefore, kept Paul further in the public view, and maybe everyone was still hoping that The Beatles would get together, but as we know it never happened.
