Question

There are 32 point guards and 50 posts In Leo's basketball league. Leo must include all players on a team and wants each team to have the same number of point guards and the same number of posts. What is the greatest number of teams Leo can create?

Answer 1

The greatest number of teams Leo can create is 2

Solution:

Given that,

There are 32 point guards and 50 posts In Leo's basketball league

From given,

Number of point guards = 32

Number of posts = 50

Leo must include all players on a team and wants each team to have the same number of point guards and the same number of posts

To find the greatest number of teams Leo can create, we should find the greatest common factor of 32 and 50

When we find all the factors of two or more numbers, and some factors are the same, then the largest of those common factors is the Greatest Common Factor

Greatest Common Factor of 32 and 50:

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 50 are: 1, 2, 5, 10, 25, 50

Then the greatest common factor is 2

Thus the greatest number of teams Leo can create is 2