Not wanting to disagree with Mau, or any other reasonable poster, but my dad is channeling through me. His favorite golfer was Ben Hogan. He only got to see the Tiger who after his first professional major would not donate a signed ball to Billy Andrade and Brad Faxon to be auctioned at their charity event though every other living Master's Champion did. Hogan deserves to be mentioned in this discussion, especially when injuries (head on collision with a bus) and other things (like WW2 ) keeping you off the course are factored.
The agronomy of the time probably made it easier for something to knock the best player out, courses were not as true and equal a test as today. To a lesser extent, that was true of Jack's time, too.
Hogan's peers, born the same year, were Byron Nelson 5 majors, 54 PGA wins and Sam Snead, 5 majors, 82 PGA wins. Hogan had 9 majors and 64 wins. He won a 10th before going to serve, but it didn't count because the US Open was officially suspended for WW2. What would his record have been if there had not been war during his prime?
He played The Open once and won. From 1950-1953, after the bus accident that was thought to keep him from walking, he made 17 starts, made 17 cuts, had 15 top 10s, 10 wins and won 3 US Opens, 2 Masters and the aforementioned The Open.
For me, I'd vote Jack as GOAT. However, Mr. Hogan needed to at least get a mention.