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How do you find the greatest common factor of 30, 18, and 12?

1 Answer

Tony B · MeneerNask

Jan 5, 2017

You factorize each number into primes:

Explanation:

$30 = 2 \times 2 \times 3 \times 3 \times 5$ $30=color(red)(2)color(white)(xx2)xxcolor(red)(3)color(white)(xx3)xx5$

$18 = 2 \times 2 \times 3 \times 3$ $18=color(red)(2)color(white)(xx2)xxcolor(red)(3)xx3$

$12 = 2 \times 2 \times 3$ $12=color(red)(2)xx2xxcolor(red)(3)$

What they all have in common is $2 \times 3 = 6$ $2xx3=6$

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