Malachi collects baseball cards. He has 24 Cincinnati Reds cards and 30 Atlanta Braves cards. The teams are playing each other and Malachi wants to sell sets of his cards. He wants them to have an equal number of each kind in the package. What is the greatest number of packages Malachi can make if he uses all of the cards? PAR 6.2

Question

Malachi collects baseball cards.  He has 24 Cincinnati Reds cards and 30 Atlanta Braves cards. The teams are playing each other and Malachi wants to sell sets of his cards. He wants them to have an equal number of each kind in the package.  What is the greatest number of packages Malachi can make if he uses all of the cards? PAR 6.2
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GPT 3.5 · Answer

To find the greatest number of packages Malachi can make, we need to determine the greatest common divisor (GCD) of 24 and 30.

Prime factorization of 24: 2^3 * 3
Prime factorization of 30: 2 * 3 * 5

The GCD is found by taking the lowest exponent for each common prime factor. In this case, the GCD is 2^1 * 3^1 = 6.

Therefore, the greatest number of packages Malachi can make is 6.