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What is the greatest common factor of 4xy^2 and 20x^2y^4

What is the greatest common factor of 4xy^2 and 20x^2y^4-example-1

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4xy^2 because 4 and 20's GCF is 4
x and x^2 have X in common
and y^2 and y^4 have y^2 in common
Multiply those together and you get 4xy^2

User SouravA
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Answer:

greatest common factor is 4xy^2

Explanation:

the greatest common factor of 4xy^2 and 20x^2y^4

BReak the factors for each term

4xy^2 ---> 2*2*x*y*y

20x^2y^4 -----> 2*2*5*x*x*y*y*y*y

Now we look at the common factors for both terms

2*2*x*y*y. Multiply it to get GCF

So greatest common factor is 4xy^2

User Nitin Prakash
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