# How do you find the greatest common factor of the following monomials: 38m, 26m?

Mar 6, 2018

See below

#### Explanation:

To find the GCF, you must break the constants of the numbers apart to prime numbers.

$38 m =$ $19 \cdot 2 m$
$26 m = 13 \cdot 2 m$

Now, you must look to see what they have in common. So, the equations both have one $m$, so that would go into the GCF.

$m$

So now you are left with

$19 \cdot 2$
$13 \cdot 2$

Both the equations have two, that also goes into the GCF.

$2 m$

You are left with 13 and 19 now. Since those are not common, those would go into your ending equation. Thus, your GCF is $2 m$.