Factor 18m − 24n using the GCF

Answer 1

To factor the expression \( 18m - 24n \) using the greatest common factor (GCF), we first need to identify the GCF of the coefficients 18 and 24.

1. The factors of 18 are \( 1, 2, 3, 6, 9, 18 \).
2. The factors of 24 are \( 1, 2, 3, 4, 6, 8, 12, 24 \).

The common factors are \( 1, 2, 3, 6 \), and the greatest of these is \( 6 \).

Now, we can factor out the GCF, which is \( 6 \):

\[ 18m - 24n = 6(3m - 4n) \]

So, the factored form of \( 18m - 24n \) is:

\[ 6(3m - 4n) \]

Answer 2

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Answer 3

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