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Factor 24e +32f using gcf

A. 4(6e+8f)
B.12(2e+3f)
C.8(3e+4f)
D.2(12e+16f)

1 answer

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. \( 8(3e + 4f) \).