What is the greatest common factor of 12 and 18?

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What is the greatest common factor of 12 and 18?

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Answer 1 · 2016-04-05T09:43:57

$6$ $6$

Explanation:

$12 = 2 \cdot 2 \cdot 3$ $12 = 2*2*3$

$18 = 2 \cdot 3 \cdot 3$ $18 = 2*3*3$

If we go through the list of primes in each prime factorization, both $12$ $12$ and $18$ $18$ have at least one $2$ $2$ and at least one $3$ $3$ , and those are the greatest numbers of $2$ $2$ s and $3$ $3$ s we can find in both. Thus the greatest common factor of $12$ $12$ and $18$ $18$ is $2 \times 3 = 6$ $2xx3 = 6$

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What is the greatest common factor of 12 and 18?

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