Grade 12 Math Quiz: GCF, LCM, and Prime Factoring 2024

Question 1: Find the greatest common factor of 24 and 36.

• 6

• 18

• 30

• 12

Question 2: Determine the greatest common factor of 45 and 81.

• 36

• 12

• 25

• 9

Question 3: Calculate the least common multiple of 8 and 12.

• 20

• 16

• 10

• 24

Question 4: Find the least common multiple of 15 and 25.

• 40

• 60

• 75

• 100

Question 5: Perform the prime factorization of the number 72.

• 2^4 * 3

• 2^3 * 3^2

• 2^5 * 3

• 2^2 * 3^3

Question 6: Perform the prime factorization of the number 90.

• 3 x 3 x 10

• 2 x 5 x 9

• 6 x 15

• 2 x 3 x 3 x 5

Question 7: Use prime factorization to find the GCF and LCM of 36 and 48.

• GCF: 24, LCM: 288

• GCF: 6, LCM: 72

• GCF: 12, LCM: 144

• GCF: 18, LCM: 216

Question 8: Apply prime factorization to find the GCF and LCM of 56 and 72.

• GCF: 8, LCM: 504

• GCF: 4, LCM: 112

• GCF: 12, LCM: 504

• GCF: 16, LCM: 1008

Question 9: A school has 24 students and 36 desks. What is the minimum number of desks that can be arranged in rows so that each row has the same number of desks and no desks are left over?

• 25

• 18

• 12

• 20

Question 10: A factory needs to package its products in boxes of 15 and 20 units. What is the smallest number of products that can be packaged using both box sizes without any leftovers?

• 50

• 60

• 35

• 45