Question

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

Answer 1

Multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get
3x^2y.

Answer 2

`5x^(2) y`

Explanation:

A polynomial has a common factor when the same quantity, whether number or letter, is found in all terms of the polynomial.

We can express the terms as follows, and find their common factor.

`15x^(2) y^(3)   =  5*5*5*x*x*y*y*ÿ`

`-20x^(3) yz = -5*5*5*5*x*x*x*y*z`

In this way, you can find the elements common to both terms

`5x^(2) y(3y^(2) )(-4xz)`