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

Answer:

$5x^2y$.

Step-by-step 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 $5x^2y$.