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Since 3y2 can evenly divide 24y3, 3y2 must be the greatest common factor, since the greatest common factor cannot be larger than the smaller of the two numbers.
But, we can also look at a factorization of both numbers.
We can tell that 3y2 = 3 x y2.
We can tell that 24y3 = 3 x 8 x y3 = 3 x 23 x y2 x y.
These numbers have in common 3 and y2, so 3y2 is the greatest common factor.
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