Factor 18m-24n using the GCF

To factor 18m - 24n using the greatest common factor (GCF), we can look for the largest number that divides both coefficients, 18 and 24, as well as any variables that are raised to a power in both terms.

The GCF of 18 and 24 is 6. The variable m is raised to the power of 1 in the first term, and n is raised to the power of 1 in the second term. So, the GCF of m and n is 1.

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

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

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

Therefore, 18m - 24n can be factored as:

6(3m - 4n)