Factor 18m − 24n using the GCF

Answer 1

To factor 18m - 24n using the greatest common factor (GCF), we need to find the largest number or variable that divides evenly into both 18m and 24n.

First, let's find the GCF between 18m and 24n.

The prime factorization of 18m is 2 x 3 x 3 x m.
The prime factorization of 24n is 2 x 2 x 2 x 3 x n.

The common factors between 18m and 24n are 2, 2, and 3.

So, the GCF between 18m and 24n is 2 x 2 x 3 = 12.

To factor 18m - 24n using the GCF, we divide each term by the GCF and write the expression as:
12(1.5m - 2n)