SOLUTION: Find the greatest common factor of the numbers or monomials. <b> 12. 9ab^2,108ab^3 Any help with this equation would be GREATLY appreciated.

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Question 108008: Find the greatest common factor of the numbers or monomials.

12. 9ab^2,108ab^3
Any help with this equation would be GREATLY appreciated.

Answer by HyperBrain(694)   (Show Source): You can put this solution on YOUR website!
First, let's find the numerical coefficients of the monomials.

The numerical coefficient of is 9
The numerical coefficient of is 108.

REMEMBER: a number is divisible by 9 if the sum of its digits is divisible by 9.

Let's check ...


9 is divisible by 9. Thus, 108 is divisible by 9.

ALSO: If is divisible by , then their greatest common factor is

Thus, the greatest common factor of 108 and 9 is



Now, let's examine the variable part of the monomials

The variable part of is
The variable part of is

is divisible by . So, the greatest common factor of and is

Now let's MULTIPLY the two greatest common factors to get the greatest common factor of and ...



Therefore, the greatest common factor of and is

Power up,
HyperBrain!

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