# How do you find the GCF of 24 and 40?

Jan 8, 2017

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 $8$.