SOLUTION: The GCF of 2 numbers is 12 and the LCM is 1980. Find the best pair of numbers that fit this description

Question 344611: The GCF of 2 numbers is 12 and the LCM is 1980. Find the best pair of numbers that fit this description
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The GCF of 2 numbers is 12 and the LCM is 1980. Find the best pair of numbers that fit this description
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Prime factors of 1980 = 2^2*5*3^2*11
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The GCF = 2^2*3
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One of the numbers is 12x where x = 5 or 3 or 11
The other number is 12y where y = 5 or 3 or 11
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The pair could be 12*5 and 12*33
Or the pair could be 12*11 and 12*15
Other pairings are possible.
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I'm not sure what is meant by "best" pair.
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Cheers,
Stan H.
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