What is the Greatest common factor of 16 and 20?

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Answer 1 · 2018-03-05T23:50:14

See a solution process below:

Find the prime factors for each number as:

$16 = 2 \times 2 \times 2 \times 2$ $16 = 2 xx 2 xx 2 xx 2$

$20 = 2 \times 2 \times 5$ $20 = 2 xx 2 xx 5$

Now identify the common factors and determine the GCF:

$16 = 2 \times 2 \times 2 \times 2$ $16 = color(red)(2) xx color(red)(2) xx 2 xx 2$

$36 = 2 \times 2 \times 5$ $36 = color(red)(2) xx color(red)(2) xx 5$

Therefore:

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