What is the greatest common factor of each set of numbers

1. 24,60 2. 7,9 3. 9,12,15

4.how does finding the greatest common factor someone solve real-world problems?


5. fourteen boys and 21 girls will be equally divided into groups. find the greatest number of groups that can be created if no one is left out.

sorry for asking for so much, the teacher did not explain how to do this. he just said do it.

1. 24, 60
24 = {1, 2, 3, 4, 6, 8, 12, 24}
60 = {1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60}
The GCF is 12.

2. 7, 9
7 = {1, 7}
9 = {1, 3, 9}
The GCF is 1.

3. 9, 12, 15
9 = {1, 3, 9}
12 = {1, 2, 3, 4, 6, 12}
15 = {1, 3, 5, 15}
The GCF is 3.

4. An example of this is #5. It can help you figure out what the greatest amount you can have is.

5. 14 boys and 21 girls.
14 + 21 = 35
Find the multiples of 35.
{ 1, 5, 7, 35 }
Obviously 35 can't be used, because there will be only 1 group. So the greatest number of groups would be 7, each containing 5 students.