LCM / GCF - Factoring Quiz

David and Avery are planning to decorate a room for Ava's birthday party. They want to hang streamers across the room in a pattern. David's pattern repeats every 8 feet, and Avery's pattern repeats every 12 feet. What is the least distance in feet at which both patterns will align perfectly?

• 24

• 36

• 48

• 96

Find the greatest common factor (GCF) of 54 and 24.

• 6

• 12

• 18

• 3

Aria is trying to break down the number 60 into its prime factors for her math homework. What is the prime factorization of 60 that Aria should write down?

If two numbers have a LCM of 36 and a GCF of 3, which of the following could be one of the numbers?

• 9

• 12

• 18

• 24

Abigail and Michael are trying to divide 81 apples and 27 oranges equally without any leftovers. What is the greatest number of groups they can form?

• 9

• 27

• 3

• 81

Grace is organizing a concert with 120 chairs. She wants to arrange the chairs in rows with an equal number of chairs in each row. Which of the following cannot be the number of chairs in each row?

• 5

• 8

• 10

• 15

Aiden and Henry are planning to start a garden and want to plant flowers that bloom every 9 days and vegetables that grow every 6 days. They want to synchronize their gardening so that the flowers and vegetables have a cycle that aligns on the same day. What is the least common multiple (LCM) of 9 and 6 to achieve this?

• 18

• 36

• 54

• 72

Priya is organizing her bookshelf and notices that she can arrange her collection of 100 science fiction novels in a perfect square, but also in rectangles of equal rows and columns. What is the prime factorization that represents the total number of books Priya has?