Find the GCF of 30m + 12n

To find the greatest common factor (GCF) of 30m + 12n, we need to find the largest number or expression that can divide evenly into both 30m and 12n. We can start by factoring the expression:

30m + 12n = 6(5m) + 6(2n)
= 6(5m + 2n)

Now we can see that 6 is a common factor of both terms. Therefore, the GCF of 30m + 12n is 6.

To find the GCF (Greatest Common Factor) of 30m and 12n, we start by factoring each term separately.

The factors of 30m are: 1, 2, 3, 5, 6, 10, 15, 30, m, 2m, 3m, 5m, 6m, 10m, 15m, 30m.

The factors of 12n are: 1, 2, 3, 4, 6, 12, n, 2n, 3n, 4n, 6n, 12n.

Now we need to find the common factors between the two sets.

The common factors are: 1, 2, 3, 6.

Therefore, the GCF of 30m and 12n is 6.

To find the greatest common factor (GCF) of 30m and 12n, we need to determine the common factors of both terms and find the largest one.

Let's begin by factoring both terms:

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

Now, let's compare the factors of both terms:

The factors of 30m are: 2, 3, 5, and m.
The factors of 12n are: 2, 2, 3, and n.

The common factors are: 2, 3.

Since we are looking for the greatest common factor, we take the highest exponent for each common factor:

The GCF of 30m and 12n is 2 * 3 = 6.

So, the GCF of 30m and 12n is 6.