Question

What is the GCF of 64 and 32?

Answer 1

See a solution process below:

Explanation:

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`