Find the GCF of 30m + 12n

1 answer

To find the GCF (Greatest Common Factor) of 30m and 12n, we need to determine the largest number or expression that can evenly divide both terms.

First, let's break down each term into its prime factors.

30m = 2 * 3 * 5 * m
12n = 2 * 2 * 3 * n

Now, let's identify the common factors. We can see that both terms have 2 and 3 as common factors.

Therefore, the GCF of 30m and 12n is 2 * 3 = 6.