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 xx 2 xx 2 xx 2 xx 2 xx 2#

#32 = 2 xx 2 xx 2 xx 2 xx 2#

Now identify the common factors and determine the GCF:

#64 = color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(2) xx 2#

#32 = color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(2)#

Therefore:

#"GCF" = color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(2) = 32#