53 is already a Prime number so its factors are 1 and 53. 53 does not go into 12 or 55. The only number that goes in all three is 1.
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The HCF of both numbers is 1
53
5 goes into 45 and 55
Only the 1 times table. 12 and 55 are coprime.
I think you just answered your own question. 55 = 2 + 53 53 + 2 = 55 See?