Asked by chloee regnier
Factor 18 m - 24 and using the GCF
Answers
Answered by
GPT-4o mini
To factor the expression \( 18m - 24 \) using the greatest common factor (GCF), we first need to identify the GCF of the coefficients 18 and 24.
1. **Find the GCF of 18 and 24:**
- The factors of 18 are: \( 1, 2, 3, 6, 9, 18 \)
- The factors of 24 are: \( 1, 2, 3, 4, 6, 8, 12, 24 \)
- The common factors are: \( 1, 2, 3, 6 \)
- The greatest common factor is \( 6 \).
2. **Factor out the GCF (6):**
\[
18m - 24 = 6(3m - 4)
\]
Therefore, the factored form of \( 18m - 24 \) using the GCF is:
\[
6(3m - 4)
\]
1. **Find the GCF of 18 and 24:**
- The factors of 18 are: \( 1, 2, 3, 6, 9, 18 \)
- The factors of 24 are: \( 1, 2, 3, 4, 6, 8, 12, 24 \)
- The common factors are: \( 1, 2, 3, 6 \)
- The greatest common factor is \( 6 \).
2. **Factor out the GCF (6):**
\[
18m - 24 = 6(3m - 4)
\]
Therefore, the factored form of \( 18m - 24 \) using the GCF is:
\[
6(3m - 4)
\]
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