What is the GCF of 64 and 32?

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Answer 1 · 2018-03-07T14:56:29

See a solution process below:

Find the prime factors for each number as:

$64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2$ $64 = 2 xx 2 xx 2 xx 2 xx 2 xx 2$

$32 = 2 \times 2 \times 2 \times 2 \times 2$ $32 = 2 xx 2 xx 2 xx 2 xx 2$

Now identify the common factors and determine the GCF:

$64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2$ $64 = color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(2) xx 2$

$32 = 2 \times 2 \times 2 \times 2 \times 2$ $32 = color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(2)$

Therefore:

$GCF = 2 \times 2 \times 2 \times 2 \times 2 = 32$ $"GCF" = color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(2) = 32$