Question

What is the greatest divisor of 372 that is smaller than 50 and also a factor of 72?

Answer 1

The answer is 12.

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Answer 2

72 = 2 × 2 × 2 × 3 × 3
372 = 2 × 2 × 3 × 31

Those numbers have mutual prime factorization in 2 × 2 × 3, that means the result of the multiplication represents the greatest divisor of 372 and 72.
2 × 2 × 3 = 12

The greatest divisor is 12