SOLUTION: How do I figure out the Greatest Common Factor of a pair of integers? here is my problem 12 & 18 find the GCF how do I do it? Thank you

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Question 207559: How do I figure out the Greatest Common Factor of a pair of integers? here is my problem
12 & 18 find the GCF
how do I do it?
Thank you
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

First, list the prime factorization of each number. If you need help with prime factorization, check out this solver.


12: 2*2*3


18: 2*3*3


Now highlight the factors that the two numbers share in common


12: 2*2*3


18: 2*3*3


Now pick one set of these highlighted numbers and multiply

2*3=6

So the GCF of 12 and 18 is 6

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
figure out the Greatest Common Factor of a pair of integers? here is my problem
12 & 18 find the GCF
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1st: Write each number in its prime-factored form:
12 = 2^2*3
18 = 2*3^2
--------------------
2nd: Determine the common power of each different prime value
For 2 that is 2^1
For 3 that is 3^1
------------------------
3rd: The GCF is the product: 2*3 = 6
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Cheers,
Stan H.