Raymond B. answered 10/22/20
Tutor
New to Wyzant
write each number as a product of primes
18 = 9 x 2 = 3 x 3 x 2 = 32 x 2
12 = 6 x 2 = 3 x 2 x 2 = 3 x 22
take each prime at its lowest power and multiply them together, 3 x 2
greatest common factor is 3 x 2 = 6
6 divides both 18 and 12 evenly
and there's no larger number for which that's true