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.

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

   12
2. 2.

   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
3. 3.

   Bo sets up 36 chairs in the front section and 48 in the back. Every row has the same number of chairs in both sections. What is the greatest number of chairs in one row?

   12
4. 4.

   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
5. 5.

   Jun's robot has a red light that blinks every 9 seconds and a green light every 12 seconds. They blink together now. In how many seconds do they next blink together?

   36
6. 6.

   Kira waters the plants every 4 days and cleans the fish tank every 7 days. Kira does both today. In how many days will Kira next do both on the same day?

   28
7. 7.

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

   8
8. 8.

   Ren picks a card. Which expression is 42 + 28 with the greatest common factor taken out?

   • 14(3 + 2)
   • 14(3 + 28)
   • 2(21 + 14)
   • 6(7 + 28)
9. 9.

   Tala picks a card. Which expression is 36 + 54 with the greatest common factor taken out?

   • 4(9 + 54)
   • 2(18 + 27)
   • 18(2 + 54)
   • 18(2 + 3)
10. 10.

    Zee picks a card. Which expression is 45 + 75 with the greatest common factor taken out?

    • 9(5 + 75)
    • 15(3 + 75)
    • 15(3 + 5)
    • 3(15 + 25)