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MathsAges 10-12

Highest common factor (HCF)

Find the highest common factor (HCF) shared by two whole numbers. Review suitability for your learners before teaching.

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Age band:Ages 10-12Ages 13-15

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Worksheet StudioPractice pack · Ages 10-12

Highest common factor (HCF)

Take your time. Show your thinking.

  1. 1. What is the highest common factor (HCF) of 33 and 44?

    33 · 44 · Highest common factor (HCF)

  2. 2. What is the highest common factor (HCF) of 60 and 72?

    60 · 72 · Highest common factor (HCF)

  3. 3. What is the highest common factor (HCF) of 22 and 33?

    22 · 33 · Highest common factor (HCF)

  4. 4. What is the highest common factor (HCF) of 6 and 15?

    6 · 15 · Highest common factor (HCF)

  5. 5. What is the highest common factor (HCF) of 8 and 12?

    8 · 12 · Highest common factor (HCF)

  6. 6. What is the highest common factor (HCF) of 52 and 65?

    52 · 65 · Highest common factor (HCF)

  7. 7. What is the highest common factor (HCF) of 9 and 15?

    9 · 15 · Highest common factor (HCF)

  8. 8. What is the highest common factor (HCF) of 8 and 10?

    8 · 10 · Highest common factor (HCF)

  9. 9. What is the highest common factor (HCF) of 50 and 70?

    50 · 70 · Highest common factor (HCF)

  10. 10. What is the highest common factor (HCF) of 6 and 10?

    6 · 10 · Highest common factor (HCF)

  11. 11. What is the highest common factor (HCF) of 40 and 50?

    40 · 50 · Highest common factor (HCF)

  12. 12. What is the highest common factor (HCF) of 16 and 56?

    16 · 56 · Highest common factor (HCF)
12 questions · Seed 104729 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 10-12

Highest common factor (HCF)

Answers and reasoning. Review before teaching.

  1. 1. What is the highest common factor (HCF) of 33 and 44?

    11

    33 = 3 × 11 and 44 = 4 × 11. Since 3 and 4 share no common factor greater than 1, the HCF is 11.

  2. 2. What is the highest common factor (HCF) of 60 and 72?

    12

    60 = 5 × 12 and 72 = 6 × 12. Since 5 and 6 share no common factor greater than 1, the HCF is 12.

  3. 3. What is the highest common factor (HCF) of 22 and 33?

    11

    22 = 2 × 11 and 33 = 3 × 11. Since 2 and 3 share no common factor greater than 1, the HCF is 11.

  4. 4. What is the highest common factor (HCF) of 6 and 15?

    3

    6 = 2 × 3 and 15 = 5 × 3. Since 2 and 5 share no common factor greater than 1, the HCF is 3.

  5. 5. What is the highest common factor (HCF) of 8 and 12?

    4

    8 = 2 × 4 and 12 = 3 × 4. Since 2 and 3 share no common factor greater than 1, the HCF is 4.

  6. 6. What is the highest common factor (HCF) of 52 and 65?

    13

    52 = 4 × 13 and 65 = 5 × 13. Since 4 and 5 share no common factor greater than 1, the HCF is 13.

  7. 7. What is the highest common factor (HCF) of 9 and 15?

    3

    9 = 3 × 3 and 15 = 5 × 3. Since 3 and 5 share no common factor greater than 1, the HCF is 3.

  8. 8. What is the highest common factor (HCF) of 8 and 10?

    2

    8 = 4 × 2 and 10 = 5 × 2. Since 4 and 5 share no common factor greater than 1, the HCF is 2.

  9. 9. What is the highest common factor (HCF) of 50 and 70?

    10

    50 = 5 × 10 and 70 = 7 × 10. Since 5 and 7 share no common factor greater than 1, the HCF is 10.

  10. 10. What is the highest common factor (HCF) of 6 and 10?

    2

    6 = 3 × 2 and 10 = 5 × 2. Since 3 and 5 share no common factor greater than 1, the HCF is 2.

  11. 11. What is the highest common factor (HCF) of 40 and 50?

    10

    40 = 4 × 10 and 50 = 5 × 10. Since 4 and 5 share no common factor greater than 1, the HCF is 10.

  12. 12. What is the highest common factor (HCF) of 16 and 56?

    8

    16 = 2 × 8 and 56 = 7 × 8. Since 2 and 7 share no common factor greater than 1, the HCF is 8.

12 questions · Seed 104729 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12

Highest common factor (HCF)

Take your time. Show your thinking.

  1. 1. What is the highest common factor (HCF) of 33 and 44?

    33 · 44 · Highest common factor (HCF)

  2. 2. What is the highest common factor (HCF) of 60 and 72?

    60 · 72 · Highest common factor (HCF)

  3. 3. What is the highest common factor (HCF) of 22 and 33?

    22 · 33 · Highest common factor (HCF)

  4. 4. What is the highest common factor (HCF) of 6 and 15?

    6 · 15 · Highest common factor (HCF)

  5. 5. What is the highest common factor (HCF) of 8 and 12?

    8 · 12 · Highest common factor (HCF)

  6. 6. What is the highest common factor (HCF) of 52 and 65?

    52 · 65 · Highest common factor (HCF)

  7. 7. What is the highest common factor (HCF) of 9 and 15?

    9 · 15 · Highest common factor (HCF)

  8. 8. What is the highest common factor (HCF) of 8 and 10?

    8 · 10 · Highest common factor (HCF)

  9. 9. What is the highest common factor (HCF) of 50 and 70?

    50 · 70 · Highest common factor (HCF)

  10. 10. What is the highest common factor (HCF) of 6 and 10?

    6 · 10 · Highest common factor (HCF)

  11. 11. What is the highest common factor (HCF) of 40 and 50?

    40 · 50 · Highest common factor (HCF)

  12. 12. What is the highest common factor (HCF) of 16 and 56?

    16 · 56 · Highest common factor (HCF)
12 questions · Seed 104729 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12

Highest common factor (HCF)

Answers and reasoning. Review before teaching.

  1. 1. What is the highest common factor (HCF) of 33 and 44?

    11

    33 = 3 × 11 and 44 = 4 × 11. Since 3 and 4 share no common factor greater than 1, the HCF is 11.

  2. 2. What is the highest common factor (HCF) of 60 and 72?

    12

    60 = 5 × 12 and 72 = 6 × 12. Since 5 and 6 share no common factor greater than 1, the HCF is 12.

  3. 3. What is the highest common factor (HCF) of 22 and 33?

    11

    22 = 2 × 11 and 33 = 3 × 11. Since 2 and 3 share no common factor greater than 1, the HCF is 11.

  4. 4. What is the highest common factor (HCF) of 6 and 15?

    3

    6 = 2 × 3 and 15 = 5 × 3. Since 2 and 5 share no common factor greater than 1, the HCF is 3.

  5. 5. What is the highest common factor (HCF) of 8 and 12?

    4

    8 = 2 × 4 and 12 = 3 × 4. Since 2 and 3 share no common factor greater than 1, the HCF is 4.

  6. 6. What is the highest common factor (HCF) of 52 and 65?

    13

    52 = 4 × 13 and 65 = 5 × 13. Since 4 and 5 share no common factor greater than 1, the HCF is 13.

  7. 7. What is the highest common factor (HCF) of 9 and 15?

    3

    9 = 3 × 3 and 15 = 5 × 3. Since 3 and 5 share no common factor greater than 1, the HCF is 3.

  8. 8. What is the highest common factor (HCF) of 8 and 10?

    2

    8 = 4 × 2 and 10 = 5 × 2. Since 4 and 5 share no common factor greater than 1, the HCF is 2.

  9. 9. What is the highest common factor (HCF) of 50 and 70?

    10

    50 = 5 × 10 and 70 = 7 × 10. Since 5 and 7 share no common factor greater than 1, the HCF is 10.

  10. 10. What is the highest common factor (HCF) of 6 and 10?

    2

    6 = 3 × 2 and 10 = 5 × 2. Since 3 and 5 share no common factor greater than 1, the HCF is 2.

  11. 11. What is the highest common factor (HCF) of 40 and 50?

    10

    40 = 4 × 10 and 50 = 5 × 10. Since 4 and 5 share no common factor greater than 1, the HCF is 10.

  12. 12. What is the highest common factor (HCF) of 16 and 56?

    8

    16 = 2 × 8 and 56 = 7 × 8. Since 2 and 7 share no common factor greater than 1, the HCF is 8.

12 questions · Seed 104729 · Age guidance, not curriculum certification