How do you find the greatest common factor of 24, 28?

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How do you find the greatest common factor of 24, 28?

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Answer 1 · 2016-12-02T03:36:53

Find the prime factorization for both numbers and multiply all common factors.

Explanation:

You could find the prime factorizations of $24$ $24$ and $28$ $28$ .

$24 = 2^{2} \cdot 3$ $24 = 2^2 * 3$

$28 = 2^{2} \cdot 7$ $28 = 2^2 * 7$

We see that $24$ $24$ and $28$ $28$ have $2^{2}$ $2^2$ in common and nothing else, so the greatest common factor is

$2^{2} = 4$ $2^2 = 4$

There are other ways to find the GCF as well such as listing out all the factors of each number and picking out the greatest, which is a little more tedious and unnecessary.

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How do you find the greatest common factor of 24, 28?

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