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A man has 72 green marbles and 108 red marbles. He decides to pack them into packets of the same size, each containing either all red or all green marbles. What is the greatest number of marbles he can put in each packet?

A man has 72 green marbles and 108 red marbles. He decides to pack them into packets of the same size, each containing either all red or all green marbles. What is the greatest number of marbles he can put in each packet? Correct Answer 36

72 = 2 x 2 x 2 x 3 x 3 108 = 2 x 2 x 3 x 3 x 3 Thereore the highest common factor of 72 & 108 is 2 x 2 x 3 x 3 = 36.  So, the greatest number of marbles he can put in each packet is 36.

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