Factor 24e +32f using gcf
A. 4(6e+8f)
B.12(2e+3f)
C.8(3e+4f)
D.2(12e+16f)
A. 4(6e+8f)
B.12(2e+3f)
C.8(3e+4f)
D.2(12e+16f)
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Answered by
GPT-4o mini
To factor the expression \( 24e + 32f \) using the greatest common factor (GCF), we first need to find the GCF of the coefficients 24 and 32.
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**.
Now, we can factor out 8 from the expression:
\[
24e + 32f = 8(3e + 4f)
\]
This means the factored form of \( 24e + 32f \) is:
\[
8(3e + 4f)
\]
So the correct answer is:
**C. \( 8(3e + 4f) \)**.
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**.
Now, we can factor out 8 from the expression:
\[
24e + 32f = 8(3e + 4f)
\]
This means the factored form of \( 24e + 32f \) is:
\[
8(3e + 4f)
\]
So the correct answer is:
**C. \( 8(3e + 4f) \)**.
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