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Let's take a look at what factors [tex]x^2y[/tex] and [tex]xy^2[/tex] have in common.
[tex]x^2y[/tex] is composed of [tex]x^2[/tex] and y, and [tex]xy^2[/tex] is composed of x and [tex]y^2[/tex]. Notice that both x and y are factors of them, so the gcf is xy.
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