Question

Gcf of 18xy and 32xyz?

Answer 1

2xy is the GCF of 18xy and 32xyz

Answer 2

The answer is 2xy.

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:

1. List the prime factors of each number.
2. Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.
3. If there is any variable, we have to do the same, multiply those factors both variables have in common.

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
`18xy=2*3*3*x*y`

Primer factors of
`32xyz=2*2*2*2*2*x*y*z`

There is one 2 in common and there are "x" and "y" variables in common.

Finally, the GCF of 18xy and 32xyz is 2xy.