How do you find the greatest common factor of 30y^3, 20y^2?

1 Answer
Shell
Dec 13, 2016

10y^2

Explanation:

Find the greatest common factor (GCF) of 30y^3 and 20y^2.

First, let's find the GCF of the coefficients 30 and 20 by listing their factors.

30: 1, 2, 3, 5, 6, 10, 15, 30

20: 1, 2, 4, 5, 10, 20

The greatest factor that is "common" to both lists is 10. In other words, the largest number that can "go into" both 30 and 20 without a remainder is 10.

Now, let's find the GCF of the variables.

y^3= y *y*ycolor(white)(aaa)y^2=y*y

The largest number of "y"'s common to both y^3 and y^2 is y*y.

The GCF of the variables is y^2.

Combing the the GCF's of the coefficients and the variables gives a GCF of 10y^2.

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