[tex]{\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}[/tex]
▪ [tex]\bm{36xy^2 \: \: and \: \: 36x^2y^3}[/tex]
[tex]{\large{\textsf{\textbf{\underline{\underline{ Required:}}}}}}[/tex]
To find the [tex]\bold{Greatest \: \: Common \: \: Factor}[/tex] (GCF),
[tex]{\large{\textsf{\textbf{\underline{\underline{ Explanation:}}}}}}[/tex]
We have:-
[tex]\tt{{36y}^{2} = 6 \times 6 \times x \times y \times y }[/tex]
[tex]\tt{ 36x^2 y^2= 6 \times 6 \times x \times y \times y}[/tex]
The [tex]\bold{common \: \: factors }[/tex] are [tex]\sf{ 6,x,y}[/tex].
[tex]{\large{\textsf{\textbf{\underline{\underline{ Answer:}}}}}}[/tex]
Hence the Greatest Common Factor is:-
[tex]\boxed{ \red{ \tt{ 6 \times 6 \times x \times y \times y = 36x {y}^{2} }}}\large{✓}[/tex]
hope it helps ~