Posted by **jess** on Tuesday, September 16, 2008 at 10:38pm.

In the lunch room, 36 fith-graders and 27 fourth-graders are sitting in equal groups. All the students in each group are in the same grade.What is the greatest number of students who could be in each group?

- Greatest Common Factors -
**TN**, Tuesday, September 16, 2008 at 11:03pm
The fifth-graders could evenly be in

1 group of 36 ... or

2 groups of 18 ...or

3 groups of 12 ... or

4 groups of 9 ... or

6 groups of 6 ... or

9 groups of 4 ...or

12 groups of 3 ... or

18 groups of 2 ... or

36 groups of 1

The fourth-graders could evenly be in

1 group of 27...or

3 groups of 9...or

9 groups of 3...or

27 groups of 1

If they have to have the same number in both groups, they could either have 1, 3 or 9 (the common factors). Since we want the greatest number, which would we choose?

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