Greatest common factor, least common multiple

Grade 6 Math Worksheet

NameDate

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

  1. Milo copies a clue from the board. What is the greatest common factor of 42 and 56?

  2. Noah follows a map clue. What is the least common multiple of 4 and 9?

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

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

  5. Tala finds a hint in a book. What is the least common multiple of 4 and 12?

  6. 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?

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

  8. Noah rewrites a sum. Write 45 + 60 as the greatest common factor times a sum. What number goes in front of the parentheses?

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

    • 9(7 + 84)
    • 21(3 + 4)
    • 21(3 + 84)
    • 3(21 + 28)
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Greatest common factor, least common multiple

Answer Key - Grade 6 Math Worksheet

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

  1. Milo copies a clue from the board. What is the greatest common factor of 42 and 56?

    14
  2. Noah follows a map clue. What is the least common multiple of 4 and 9?

    36
  3. Pia reads a puzzle card. What is the least common multiple of 5 and 8?

    40
  4. Ren copies a clue from the board. What is the least common multiple of 3 and 9?

    9
  5. Tala finds a hint in a book. What is the least common multiple of 4 and 12?

    12
  6. 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
  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. Noah rewrites a sum. Write 45 + 60 as the greatest common factor times a sum. What number goes in front of the parentheses?

    15
  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. Ari picks a card. Which expression is 63 + 84 with the greatest common factor taken out?

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