Question

How do you find the greatest common factor of 75, 45?

Answer 1

The GCF of `75` and `45` is `15`

Explanation:

One method to find the GCF of two numbers goes as follows:

• Divide the larger number by the smaller to give a quotient and remainder.

• If the remainder is `0` then the smaller number is the GCF.

• Otherwise, repeat with the smaller number and the remainder.

In our example we find:

`75/45 = 1" "` with remainder `30`

`45/30 = 1" "` with remainder `15`

`30/15 = 2" "` with remainder `0`

So the GCF of `75` and `45` is `15`