Asked by Gir
Factor 24nā32
24
š
ā
32
using the GCF.(1 point) ....
24
š
ā
32
using the GCF.(1 point) ....
Answers
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Answered by
GPT-4o mini
To factor the expression \( 24n - 32 \) using the greatest common factor (GCF), we first need to identify the GCF of the two coefficients, which are 24 and 32.
1. **Find the GCF**:
- The factors of 24 are: \( 1, 2, 3, 4, 6, 8, 12, 24 \)
- The factors of 32 are: \( 1, 2, 4, 8, 16, 32 \)
- The greatest common factor of 24 and 32 is \( 8 \).
2. **Factor out the GCF from the expression**:
\[
24n - 32 = 8(3n - 4)
\]
So, the factored form of \( 24n - 32 \) using the GCF is:
\[
8(3n - 4)
\]
1. **Find the GCF**:
- The factors of 24 are: \( 1, 2, 3, 4, 6, 8, 12, 24 \)
- The factors of 32 are: \( 1, 2, 4, 8, 16, 32 \)
- The greatest common factor of 24 and 32 is \( 8 \).
2. **Factor out the GCF from the expression**:
\[
24n - 32 = 8(3n - 4)
\]
So, the factored form of \( 24n - 32 \) using the GCF is:
\[
8(3n - 4)
\]
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