Question

How do you find the GCF of 24 and 40?

Answer 1

The GCF of `24` and `40` is `8`

Explanation:

Given two positive numbers, one method for finding their GCF goes as follows:

• If the numbers are the same, then that is the GCF.

• Otherwise, replace the larger number by the result of subtracting the smaller number from it and repeat.

So in our example:

• Start with `24, 40`

• Subtract `24` from `40` to get: `24, 16`

• Subtract `16` from `24` to get: `8, 16`

• Subtract `8` from `16` to get: `8, 8`

Since both resulting numbers are the same, the GCF is `8`.