# In preparation for a party, Michael is making goodie bags. He has 36 chocolate bars and 48 lollipops lf he wants to prepare identical goodie bags without having any candy left over, what is the greatest number of bags he can prepare?

Oct 28, 2016

Michael could make 12 identical bags.

#### Explanation:

36 chocolate bars and 48 lollipops.

What is the maximum number of goody bags without having any candy left over?

This is a greatest common factor problem.

The factors of 36 are:

1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 48 are:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The greatest common factor (biggest factor of each) is 12.

Michael could make 12 goody bags, each with $\frac{36}{12} = 3$ chocolate bars and $\frac{48}{12} = 4$ lollipops.