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The Babylonians
Quite probably the ancient Babylonians.
The Babylonians had not discovered fractions and 60 is a fairly low number which can be factorised by many numbers which made it useful.
The Babylonians used 60 as the base for their counting.
Probably it was the ancient Babylonians whose number base was 60 or maybe the ancient Mayans whose number base was 20