Factor 48y + 36z using the GCF. (1 point)
6(8y + 6z)
O 12(4y + 3z)
4(12y + 9z)
○ 16(3y + 2z)
To find the greatest common factor (GCF) of 48y and 36z, we need to look for the highest number that can divide both 48 and 36. The GCF for 48 and 36 is 12.
Next, we need to find the highest power of the variable that appears in both terms. In this case, the variable is y. The highest power of y in 48y is y, and the highest power of y in 36z is 0 (since there is no y).
So, the GCF for the y terms is y^0, which is 1.
Similarly, for the z terms, the GCF is z^1, which is just z.
Therefore, the GCF for 48y and 36z is 12y * 1z = 12yz.
Now, we can factor out the GCF from the original expression.
Factoring out 12yz from 48y + 36z, we get:
12yz(4 + 3)
Simplifying that expression, we have:
12yz * 7
Therefore, the correct factorization of 48y + 36z using the GCF is:
○ 12(4y + 3z)