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Grade 6 GCF & LCM Worksheet with Answers

Grade 6 (US) · Year 7 (UK) · Class 6 (India) · Math

Unit 2: The Number SystemFactors & MultiplesCCSS 6.NS.B.4

Finding greatest common factors and least common multiples, and using the GCF to factor sums like 36 + 8. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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GCF & LCM

Grade 6 · Math

Score___ / 12

Name

Class

Date

Learning goal: Factors & Multiples · CCSS 6.NS.B.4

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

What is the least common multiple of 2 and 7?

Answer: 14

RememberFactors and primes

36218293336 = 2 × 2 × 3 × 3Prime: exactly 2 factors (2, 3, 5, 7, 11…)Composite: more than 2 factorsGCF: biggest factor both shareLCM: smallest multiple both share
  1. 1

    What is the least common multiple of 10 and 6?

    Answer
  2. 2

    What is the greatest common factor of 8 and 32?

    Answer
  3. 3

    What is the least common multiple of 4 and 8?

    Answer
  4. 4

    What is the greatest common factor of 60 and 72?

    Answer
  5. 5

    Use the GCF to rewrite 42 + 49 as a product.

    Answer
  6. 6

    What is the least common multiple of 2 and 10?

    Answer
  7. 7

    Use the GCF to rewrite 27 + 45 as a product.

    Answer
  8. 8

    What is the greatest common factor of 48 and 54?

    Answer
  9. 9

    What is the greatest common factor of 20 and 24?

    Answer
  10. 10

    What is the least common multiple of 8 and 7?

    Answer
  11. 11

    What is the least common multiple of 11 and 10?

    Answer
  12. 12

    What is the greatest common factor of 14 and 63?

    Answer

★ Challenge corner for fast finishers

A snail climbs 9 feet up a wall each day and slides back 1 foot each night. The wall is 28 feet tall. On which day does it reach the top?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/6/gcf_lcm

Answer key (click to show)
  1. 1.30
  2. 2.8
  3. 3.8
  4. 4.12
  5. 5.7(6 + 7)
  6. 6.10
  7. 7.9(3 + 5)
  8. 8.6
  9. 9.4
  10. 10.56
  11. 11.110
  12. 12.7
  13. ★day 4 (challenge corner)

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