Find factors, multiples, common factors, and common multiples to solve numerical and contextual problems.
Use common factors in a grouping context
Problem
A teacher has \(18\) markers and \(24\) pencils. She wants to make as many identical supply bags as possible with nothing left over. Every bag must contain the same number of markers and the same number of pencils. How many supply bags can she make?
Big Picture
What this problem is really about
Making identical bags with nothing left over means the bag count must divide both supply totals. Because the teacher wants as many bags as possible, we’ll compare the factors of eighteen and twenty-four and use the greatest factor they share. Dividing both totals by that count checks that every bag has the same contents.
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