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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 6(8y+6z) 6 left parenthesis 8 y plus 6 z right parenthesis 16(3y+2z) 16 left parenthesis 3 y plus 2 z right parenthesis 12(4y+3z) 12 left parenthesis 4 y plus 3 z right parenthesis

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

  1. The factors of 48 are \(1, 2, 3, 4, 6, 8, 12, 16, 24, 48\).
  2. The factors of 36 are \(1, 2, 3, 4, 6, 9, 12, 18, 36\).

The greatest common factor of 48 and 36 is \(12\).

Next, we can factor out \(12\) from the expression:

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

Thus, the correct factored form of the expression is:

12(4y + 3z)

So, the correct response from the options given is:

12(4y + 3z).