Factor 18m - 24n using the GCF

To factor 18m - 24n using the greatest common factor (GCF), first find the GCF of the two terms, 18m and 24n.

To do this, we can find the prime factorization of each term:

18m = 2 * 3 * 3 * m
24n = 2 * 2 * 2 * 3 * n

Then, we can find the common factors of both terms, which are 2 and 3. The GCF is the product of these common factors:

GCF = 2 * 3 = 6

Now, we can divide 18m and 24n by the GCF:

18m / 6 = 3m
24n / 6 = 4n

So, the factored form of 18m - 24n using the GCF is:

6(3m - 4n)