Answer:
The GCF of monomial [tex]9x^2y^2[/tex] and [tex]5x^2y^3[/tex] is [tex]x^2y^2[/tex]
Step-by-step explanation:
Given monomial [tex]9x^2y^2[/tex] and [tex]5x^2y^3[/tex]
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.
[tex]9x^2y^2[/tex] can be written in factors form as
[tex]9x^2y^2=3 \cdot 3 \cdot x \cdot x \cdot y \cdot y[/tex]
And
[tex]5x^2y^3[/tex] can be written in factors form as
[tex]5x^2y^3=5\cdot x \cdot x \cdot y \cdot y \cdot y[/tex]
Taking common factor, we have [tex]x^2y^2[/tex]
Thus, the GCF of monomial [tex]9x^2y^2[/tex] and [tex]5x^2y^3[/tex] is [tex]x^2y^2[/tex]
