Question

on saturday a minor league baseball team gave away baseball cards to each person entering the stadium. one group received 28 baseball cards. a second group received 68 baseball cards. if each person entering the stadium received the same number of cards what was the greatest possible number of baseball cards that each person could have received

Answer 1

Hello there.

On saturday a minor league baseball team gave away baseball cards to each person entering the stadium. one group received 28 baseball cards. a second group received 68 baseball cards. if each person entering the stadium received the same number of cards what was the greatest possible number of baseball cards that each person could have received

4

Answer 2

We look at the factors of each number of baseball card.
The factors of 28 are 1 x 2² x 7
The factors of 68 are 1 x 2² x 17

Looking at the factors, the greatest common factor is 2² or 4. This means that the greatest possible number of baseball cards that each person could have received were 4 baseball cards.