mrs. flossi is hosting a trivia contest for 40 students and 24 staff members. to be fair, mrs. flossi wants…

mrs. flossi is hosting a trivia contest for 40 students and 24 staff members. to be fair, mrs. flossi wants there to be the same number of students and the same number of staff members on each team. what is the greatest number of teams mrs. flossi can make? 3 teams 4 teams 5 teams 8 teams

mrs. flossi is hosting a trivia contest for 40 students and 24 staff members. to be fair, mrs. flossi wants there to be the same number of students and the same number of staff members on each team. what is the greatest number of teams mrs. flossi can make? 3 teams 4 teams 5 teams 8 teams

Answer

Explanation:

Step1: Find GCF of 40 and 24

We need to find the greatest - common factor (GCF) of 40 and 24. Prime - factorize 40 and 24. $40 = 2\times2\times2\times5$ $24 = 2\times2\times2\times3$

Step2: Determine common factors

The common prime factors of 40 and 24 are three 2s. GCF$(40,24)=2\times2\times2 = 8$

Answer:

8 teams