How do you find the GCF of 12 and 56?

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Answer 1 · 2018-03-06T15:12:43

See a solution process below:

Find the prime factors for each number as:

$12 = 2 \times 2 \times 3$ $12 = 2 xx 2 xx 3$

$56 = 2 \times 2 \times 2 \times 7$ $56 = 2 xx 2 xx 2 xx 7$

Now identify the common factors and determine the GCF:

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

$56 = 2 \times 2 \times 2 \times 7$ $56 = color(red)(2) xx color(red)(2) xx 2 xx 7$

Therefore:

$GCF = 2 \times 2 = 4$ $"GCF" = color(red)(2) xx color(red)(2) = 4$