GCF and LCM Quiz

What is the Greatest Common Factor (GCF) of 36 and 48?

• 6

• 12

• 18

• 24

Find the Least Common Multiple (LCM) of 8 and 12.

• 24

• 36

• 48

• 60

Two numbers have a GCF of 5 and an LCM of 60. If one of the numbers is 15, what is the other number?

• 10

• 20

• 25

• 30

A gardener wants to plant trees in rows such that each row has the same number of trees and does not want any trees left over. If he has 72 apple trees and 90 pear trees, what is the maximum number of trees that can be planted in each row?

• 6

• 9

• 18

• 36

What is the LCM of 5, 6, and 7?

• 30

• 105

• 210

• 420

Two cyclists start biking from the same point at 8:00 AM. The first cyclist bikes at a speed of 5 miles per hour, and the second cyclist bikes at a speed of 7 miles per hour. At what time will they be together again at the starting point if they continue biking at their respective speeds?

• 8:35 AM

• 10:00 AM

• 11:20 AM

• 12:00 PM

Find the prime factorization of 90.

Using prime factorization, find the LCM of 20 and 25.

• 50

• 100

• 125

• 200

What is the GCF of 81 and 108?

• 9

• 27

• 36

• 54

A group of students wants to create teams for a project. If they can choose between 4, 6, or 8 members per team and want no students left over, what is the least number of students needed to form these teams?

• 12

• 24

• 48

• 72