Question

What is the GCF of `24` and `36`?

Answer 1

See a solution process below:

Explanation:

Find the prime factors for each number as:

`24 = 2 xx 2 xx 2 xx 3`

`36 = 2 xx 2 xx 3 xx 3`

Now identify the common factors and determine the GCF:

`24 = color(red)(2) xx color(red)(2) xx 2 xx color(red)(3)`

`36 = color(red)(2) xx color(red)(2) xx color(red)(3) xx 3`

Therefore:

`"GCF" = color(red)(2) xx color(red)(2) xx color(red)(3) = 12`