Factor 18m-24n using the GFC

Answer 1

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

The factors of 18m are 1, 2, 3, 6, 9, 18, m.
The factors of 24n are 1, 2, 3, 4, 6, 8, 12, 24, n.

The common factors of 18m and 24n are 1, 2, 3, and 6.

Therefore, the GCF of 18m and 24n is 6.

To factor out the GCF, we divide each term by 6:

(18m/6) - (24n/6) = 3m - 4n

So, 18m - 24n can be factored as 3m - 4n.