Question

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

Answer 1

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.

Answer 2

Answer:

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

Step-by-step 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  $x^2y^2$