Malachi collects baseball cards. He has 24 Cincinnati reds cards and 30 Atlanta braves cards. The terms 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?

To find the greatest number of packages Malachi can make, we need to find the greatest common divisor (GCD) of the number of Cincinnati Reds cards and Atlanta Braves cards.

The GCD of 24 and 30 is 6.

Therefore, Malachi can make 6 packages, with each package having 4 Cincinnati Reds cards and 5 Atlanta Braves cards.