361 = 19 x 19.
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Factor pairs refer to whole numbers, not decimals. The factor pair of 361 is (361,1)
Aside from 1, the only common factor of 76 and 361 is 19.
You can't simplify that. The only prime factors in 500 are 2 and 5 - and neither of them is a prime factor of 361.
361/1
√361 = 19 Proof: 19 x 19 = 361