SOLUTION: Find the greatest common factor of the numbers or monomials. <b> 11. 23x^2,6x Any help with this equation would be GREATLY appreciated.

Algebra ->  Equations -> SOLUTION: Find the greatest common factor of the numbers or monomials. <b> 11. 23x^2,6x Any help with this equation would be GREATLY appreciated.      Log On


   

Question 108007: Find the greatest common factor of the numbers or monomials.

11. 23x^2,6x
Any help with this equation would be GREATLY appreciated.
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Let's get the numerical coefficients of the monomials...

The numerical coefficient of 23x%5E2 is 23
The numerical coefficient of 6x is 6

TRIVIA: If x>y and x is prime and y is composite, the greatest common factor(GCF) is 1

Here, 23 is prime
6 is composite
23 > 6

Thus, their GCF is 1
Now, let's get their variable parts

The variable part of 23x%5E2 is x%5E2
The variable part of 6x is x

x%5E2 is divisible by x. Thus, their GCF is...
x%5E2%2Fx=x%5E%282-1%29=x%5E1=x

Multiplying the two GCF's...
1%28x%29=x

Thus, the GCF of 23x%5E2 and 6x is x

Power up,
HyperBrain!