What is the greatest common monomial factor of the expression

36x5y3+27x4y?

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You can factor out 36*5=180 and 27*4=108 and find that they have 36 as greatest common divisor. The x and y factors have xy as the best you can divide by. So the factor becomes 36xy

36xy (5y²+3) = 36x5y³ + 27x4y