Question

Find the greatest common factor of 15x 2 y 3 and -20x 3 yz.

Answer 1

you multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get 3x^2y

Answer 2

`5x^2y`.

Explanation:

We have been given two expressions
`15x^2y^3` and
`-20x^3yz`. We are asked to find the greatest common factor of both terms.

We know that the greatest common factor of any two numbers or expression is a number that completely divides the numbers.

The GCF of coefficient is 5 as 5 is the greatest number that completely divides 15 and 20.

We can see that in
`15x^2y^3`, x is raised to 2nd power and y is raised to 3rd power, while in
`-20x^3yz`, x is raised to 3rd power and y is raised to 1st power.

The greatest common factor (algebraic) of
`15x^2y^3` and
`-20x^3yz` is
`x^2y`.

Therefore, the greatest common factor of
`15x^2y^3` and
`-20x^3yz` is
`5x^2y`.