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find the greatest common factor. 1. 5 30 2. 24 36 3. 36 42 4. 39 21 5. …

Question

find the greatest common factor.

  1. 5 30
  2. 24 36
  3. 36 42
  4. 39 21
  5. 35 45
  6. 7 21
  7. 45 30
  8. 36 21
  9. 36 18
  10. 5 10
  11. 2 24
  12. 14 10
  13. 20 25
  14. 10 5
  15. 18 30
  16. 30 28

Explanation:

Step1: List factors of each number pair

For example, for the pair 5 and 30:
The factors of 5 are 1, 5. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30.

Step2: Identify the greatest common factor

The greatest number that appears in both lists of factors is the GCF. For 5 and 30, the GCF is 5.
We will do this for all pairs:

  1. For 5 and 30:
  • Factors of 5: 1, 5
  • Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
  • GCF = 5
  1. For 24 and 36:
  • Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
  • Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
  • GCF = 12
  1. For 36 and 42:
  • Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
  • Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
  • GCF = 6
  1. For 39 and 21:
  • Factors of 39: 1, 3, 13, 39
  • Factors of 21: 1, 3, 7, 21
  • GCF = 3
  1. For 35 and 45:
  • Factors of 35: 1, 5, 7, 35
  • Factors of 45: 1, 3, 5, 9, 15, 45
  • GCF = 5
  1. For 7 and 21:
  • Factors of 7: 1, 7
  • Factors of 21: 1, 3, 7, 21
  • GCF = 7
  1. For 45 and 30:
  • Factors of 45: 1, 3, 5, 9, 15, 45
  • Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
  • GCF = 15
  1. For 36 and 21:
  • Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
  • Factors of 21: 1, 3, 7, 21
  • GCF = 3
  1. For 36 and 18:
  • Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
  • Factors of 18: 1, 2, 3, 6, 9, 18
  • GCF = 18
  1. For 5 and 10:
  • Factors of 5: 1, 5
  • Factors of 10: 1, 2, 5, 10
  • GCF = 5
  1. For 2 and 24:
  • Factors of 2: 1, 2
  • Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
  • GCF = 2
  1. For 14 and 10:
  • Factors of 14: 1, 2, 7, 14
  • Factors of 10: 1, 2, 5, 10
  • GCF = 2
  1. For 20 and 25:
  • Factors of 20: 1, 2, 4, 5, 10, 20
  • Factors of 25: 1, 5, 25
  • GCF = 5
  1. For 10 and 5:
  • Factors of 10: 1, 2, 5, 10
  • Factors of 5: 1, 5
  • GCF = 5
  1. For 18 and 30:
  • Factors of 18: 1, 2, 3, 6, 9, 18
  • Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
  • GCF = 6
  1. For 30 and 28:
  • Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
  • Factors of 28: 1, 2, 4, 7, 14, 28
  • GCF = 2

Answer:

  1. 5
  2. 12
  3. 6
  4. 3
  5. 5
  6. 7
  7. 15
  8. 3
  9. 18
  10. 5
  11. 2
  12. 2
  13. 5
  14. 5
  15. 6
  16. 2