Question

Enter the exponents for the variables of the GCF of the following monomials.

9x 2 y 2 and 5x 2 y 3

Answer 1

The GCF of monomial
`9x^2y^2` and
`5x^2y^3` is
`x^2y^2`

Explanation:

Given monomial
`9x^2y^2` and
`5x^2y^3`

We have to find the GCF of the given monomial.

GCF stands for greatest common factor that is a factor that divides the given numbers.

`9x^2y^2` can be written in factors form as

`9x^2y^2=3 \cdot 3 \cdot x \cdot x \cdot y \cdot y`

And

`5x^2y^3` can be written in factors form as

`5x^2y^3=5\cdot x \cdot x \cdot y \cdot y \cdot y`

Taking common factor, we have
`x^2y^2`

Thus, the GCF of monomial
`9x^2y^2` and
`5x^2y^3` is
`x^2y^2`

Answer 2

The smallest exponents of the x and y term are 2. The Greatest Common Factor ( G C F ) for 9 x² y² and 5 x² y³ is: x² y².