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Factor 48y+36z

using the GCF.(1 point)
Responses

4(12y+9z)
4 left parenthesis 12 y plus 9 z right parenthesis

12(4y+3z)
12 left parenthesis 4 y plus 3 z right parenthesis

6(8y+6z)
6 left parenthesis 8 y plus 6 z right parenthesis

16(3y+2z)

1 answer

To factor the expression \( 48y + 36z \) using the greatest common factor (GCF), we first need to find the GCF of the coefficients 48 and 36.

The GCF of 48 and 36 is 12.

Now we can factor out 12 from the expression:

\[ 48y + 36z = 12(4y + 3z) \]

Thus, the correct factored form of \( 48y + 36z \) is:

\[ 12(4y + 3z) \]

So the correct response is:

12(4y + 3z).