Finite Math – Primes and Composites

Primes and Composites: There are 20 boys and 24 girls in an Algebra I class. The class is so large that the teacher wants to divide the students into gender-specific groups (all boys or all girls). Each group needs to have the same number of students.

1. Explain the process the teacher will use to determine how many students will be in each group using appropriate mathematical terms from number theory.

My original answer was –

1. 
The first thing the teacher would need to do is
to determine the least common multiple between the girls and boys group in the
class. 

The response from my instructor was….All factors of 20 and 24 are listed. It is stated that the least common
multiple and the least common factor between 20 and 24 will need to be
found. Incorrect terminology is used for the process of finding the
number of students per group.

The work refers to the
least common multiple and the least common factor to find the number of
students per group. It is not evident that the correct terminology is
used for finding the number of students per group.