Verified Answer :

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:

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  \(x^2y^2\)