Question

There are 7272 boys and 9090 girls on the math team. For the next math competition, Mr. Johnson would like to arrange all of the students in equal rows with only girls or only boys in each row. What is the greatest number of students that can be in each row?

Answer 1

Answer: 18

Explanation:

Given: The number of boys in the math team= 72

The number of girls in the math team= 90

To find the maximum number of boys or girls in each row, we need to find the GCF (Greatest Common Factor) of the numbers 72 and 90, such that the number of boys or girls divides both numbers evenly without a remainder.

`72=2*2*2*3*3\\90=2*3*3*5`

Thus, GCF(72,90)=
`2*3*3=18`

hence, the greatest number of students that can be in each row is 18.