The greatest number of teams can be formed that have the same amount of boys and girls on each team is 6
Solution:
Given that there are 54 girls and 84 boys
We have to find the greatest number of teams can be formed that have the same amount of boys and girls on each team
So we have to find the greatest common factor of 54 and 84
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor
Let us find the factors of 54 and 84
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
In the above factors list, 6 is the greatest common factor
Then the greatest common factor is 6
So the greatest number of teams can be formed that have the same amount of boys and girls on each team is 6