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.

   Jun finds a hint in a book. Multiples of 4: 4, 8, 12, 16. Multiples of 6: 6, 12, 18. What is the least common multiple of 4 and 6?

   12
2. 2.

   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
3. 3.

   Noah follows a map clue. What is the greatest common factor of 12 and 18?

   6
4. 4.

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

   8
5. 5.

   Tala finds a hint in a book. What is the greatest common factor of 20 and 30?

   10
6. 6.

   Zee finds a hint in a book. What is the least common multiple of 6 and 10?

   30
7. 7.

   Jun has 12 pencils and 28 erasers for the class. Jun puts them into identical supply bags with none left over. What is the greatest number of bags Jun can fill?

   4
8. 8.

   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
9. 9.

   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?

10. 10.

    Zee picks a card. Which expression is 12 + 18 with the greatest common factor taken out?

    • 2(6 + 9)
    • 6(2 + 3)
    • 4(3 + 18)