Factor 18m − 24n using the GCF. (1 point)

1 answer

To factor 18m − 24n using the greatest common factor (GCF), we need to find the largest number that can divide both 18m and 24n. In this case, the GCF is 6, because 6 is the largest number that can divide evenly into 18 and 24.

Therefore, we can rewrite 18m and 24n as:
18m = 6 * 3 * m
24n = 6 * 4 * n

Now we can factor out the GCF from both terms:

18m − 24n = 6 * 3 * m − 6 * 4 * n

Now we can factor out the common factor of 6:

= 6 * (3m − 4n)

Therefore, 18m − 24n can be factored as 6(3m − 4n).