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Moses and leillah are still playing the game "Guess My Numbers". It is Leillah's turn.
Leillah: I am thinking of two numbers their greatest common factor is 3 and their least common multiple is 90.
Moses: There are exactly three possible pairs of numbers that you could be thinking of.
Is Moses right? If you agree with Moses, explain how you know that there are exactly three possible pairs of numbers.
If you disagree, find all possible pairs of numbers that leillah might be thinking of.
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