Find greatest common factors — Guided Practice — page 1
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Worksheet directions

Grade 6 • Guided Practice • Work with your teacher or a partner. Discuss the model or strategy, then complete each problem.

Sample questions

  1. 36 red and 30 blue beads are divided into the greatest possible number of identical kits with none left. Find the number of kits and the contents of each.
  2. A student says the GCF of 48 and 36 is 24. Test divisibility, then correct the answer.
  3. Use factor pairs to justify the GCF of 36 and 30. Explain why selecting the larger of the two numbers is not a general method.
  4. Use factor pairs to justify the GCF of 84 and 63. Explain why selecting the larger of the two numbers is not a general method.
  5. Find the greatest common factor of 24 and 18. List the common factors and explain why your choice is greatest.
  6. Use factor pairs to justify the GCF of 60 and 45. Explain why selecting the larger of the two numbers is not a general method.

See the preview for diagrams, answer spaces, and the complete layout.

Common Core connections

Source labels: 6.NS.B.4. Review the learning goals below to check the fit for your class.

  • 6.NS.B.4 — Greatest common factor, least common multiple

Bring it into your lesson

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