Greatest common factor, least common multiple

Answer Key - Grade 6 Math Worksheet

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

1. 1.

   Esme races the clock on a number puzzle. What is the greatest common factor of 28 and 42?

   14
2. 2.

   Kira follows a map clue. What is the greatest common factor of 60 and 24?

   12
3. 3.

   Pia reads a puzzle card. What is the least common multiple of 5 and 8?

   40
4. 4.

   Ren copies a clue from the board. What is the least common multiple of 3 and 9?

   9
5. 5.

   Zee has 24 plates and 36 cups to pack. Each pack gets the same number of plates and the same number of cups, with none left over. What is the greatest number of packs?

   12
6. 6.

   Esme tracks two bus routes. One leaves the depot every 8 minutes and the other every 10 minutes. Both leave at 6:00 a.m. In how many minutes do they next leave together?

   40
7. 7.

   Luz rewrites a sum. Write 36 + 8 as the greatest common factor times a sum. What number goes in front of the parentheses?

   4
8. 8.

   Milo rewrites a sum. Write 24 + 40 as the greatest common factor times a sum. What number goes in front of the parentheses?

   8
9. 9.

   Pia rewrites a sum. Write 30 + 50 as the greatest common factor times a sum. What number goes in front of the parentheses?

   10
10. 10.

    Ari picks a card. Which expression is 63 + 84 with the greatest common factor taken out?

    • 3(21 + 28)
    • 21(3 + 84)
    • 21(3 + 4)
    • 9(7 + 84)