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Find the The greatest common factor of the following monomials:42m^6 44m^5

Find the The greatest common factor of the following monomials:42m^6 44m^5-example-1
User Francesco Napolitano
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1 Answer

22 votes
22 votes

To find the greatest common factor, lets factor each monomial:

42m⁶

First, lets factor 42

42 | 2

21 | 3

7 | 7

1

42 = 2*3*7

Now, lets factor m⁶

m⁶ = m*m*m*m*m*m

So, 42m⁶=2*3*7*m*m*m*m*m*m

44m⁵

First, lets factor 44

44 | 2

22 | 2

11 | 11

1

44 = 2*2*11

Now, lets factor m⁵

m⁵ = m*m*m*m*m

So, 44m⁵ = 2*2*11*m*m*m*m*m

Now, lets compare both factors. The greatest common factor is the greatest factor both numbers have in common:

42m⁶ = 2*3*7*m*m*m*m*m*m

44m⁵ = 2*2*11*m*m*m*m*m

The greatest common factor is 2m⁵.

User Tylon
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