Answer:
The answer is 2xy.
Step-by-step explanation:
In order to determine the GCF of any number group, we need to know the procedure to do that.
The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers:
For example:
The gcf of 15 and 20 is:
Prime factors of 15=3*5
Prime factors of 20=2*2*5
There is one 5 in common, so the gcf is 5.
In this case,
Prime factors of [tex]18xy=2*3*3*x*y[/tex]
Primer factors of [tex]32xyz=2*2*2*2*2*x*y*z[/tex]
There is one 2 in common and there are "x" and "y" variables in common.
Finally, the GCF of 18xy and 32xyz is 2xy.
