Factor 18m − 24n using the GCF.

Question

A. 3(6m - 12n)
B. 2(9m - 12n)
C. 6(3m - 4n)
D. 9(2m - 3n)

Answer 1

To factor the expression `18m − 24n` using the greatest common factor (GCF), first identify the GCF of the coefficients 18 and 24. The GCF of 18 and 24 is 6, because 6 is the largest number that divides both 18 and 24 without leaving a remainder.

Now, divide both terms in the expression by the GCF:

For the term `18m`, when divided by 6:
18m ÷ 6 = 3m

For the term `24n`, when divided by 6:
24n ÷ 6 = 4n

Put these terms inside parentheses and multiply by the GCF:

6(3m - 4n)

This means the factored form of `18m − 24n` using the GCF is:

C. 6(3m - 4n)