Factor 24e + 32f

Question

using the GCF. (1 point)
Responses

​​​​​​​2(12e + 16f)
2 Left Parenthesis 12 e plus 16 f Right Parenthesis

​​​​​​​8(3e + 4f)
8 Left Parenthesis 3 e plus 4 f Right Parenthesis

​​​​​​​4(6e + 8f)
4 Left Parenthesis 6 e plus 8 f Right Parenthesis

​​​​​​​12(2e + 3f)

Answer 1

To factor the expression \(24e + 32f\) using the Greatest Common Factor (GCF), we first 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 the original expression:

\[ 24e + 32f = 8(3e + 4f) \]

So, the correct factored form is:

8(3e + 4f).