What is the greatest common factor of 92 and 252?

Answer 1

92 = 4 X 23;

252 = 4 X 63; and

23 and 63 have no common divisor, other than 1.

Therefore, 4 is the greatest common factor of 92 and 252; that is,

gcd(92, 252) = 4.

By the bye, should you happen to recognise that 23 is a prime number, and that 23 is not a divisor of 63: then, it will be immediately apparent that 23 and 63 have no common divisor, other than 1. In other words, 23 has no divisor other than 1 and itself and is thus what we call a 'Prime number'.