Greatest common factor, least common multiple

Answer Key - Grade 6 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Kira races the clock on a number puzzle. Multiples of 6: 6, 12, 18, 24, 30. Multiples of 8: 8, 16, 24, 32. What is the least common multiple of 6 and 8?

   24
2. 2.

   Milo follows a map clue. Multiples of 4: 4, 8, 12, 16, 20, 24, 28. Multiples of 10: 10, 20, 30. What is the least common multiple of 4 and 10?

   20
3. 3.

   Pia reads a puzzle card. What is the greatest common factor of 8 and 20?

   4
4. 4.

   Ren copies a clue from the board. What is the greatest common factor of 24 and 16?

   8
5. 5.

   Bo solves a number puzzle. What is the least common multiple of 5 and 6?

   30
6. 6.

   Paper plates come in packs of 6 and paper cups in packs of 8. Milo wants the same number of plates and cups. What is the least number of plates Milo can buy?

   24
7. 7.

   Noah's garden path has a red stone every 3 feet and a blue stone every 5 feet from the gate. After how many feet is the first spot with both stones?

   15
8. 8.

   Tala factors a sum. The greatest common factor of 18 and 27 is 9. 18 + 27 = 9(2 + 3). What number goes in the blank?

9. 9.

   Ari picks a card. Which expression is 18 + 30 with the greatest common factor taken out?

   • 6(3 + 5)
   • 9(2 + 30)
   • 2(9 + 15)
10. 10.

    Bo picks a card. Which expression is 20 + 32 with the greatest common factor taken out?

    • 2(10 + 16)
    • 4(5 + 8)
    • 5(4 + 32)