what is the gcf of 3x+9y-12z

To find the greatest common factor (GCF) of the expression 3x + 9y - 12z, we need to identify the highest common factor that can be divided evenly into each term.

First, let's examine the coefficients of each term, which are 3, 9, and -12. The GCF of these coefficients is 3 because it is the largest value that can divide each number evenly.

Next, let's consider the variables. The expression contains the variables x, y, and z. However, there is no common factor among them, so the variables do not affect the GCF.

Hence, the GCF of 3x + 9y - 12z is 3.