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# 7-3 Common Factors and GCF

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• ### 7-3 Common Factors and GCF

1. 1. 7-3 Common Factors and GCF Math Notes Number Sense 2.4
2. 2. Example Find the Greatest Common Factor (GCF) of 18 and 27.
3. 3. Example Find the Greatest Common Factor (GCF) of 18 and 27. STEP ONE: List the factors of 18.
4. 4. Example Find the Greatest Common Factor (GCF) of 18 and 27. STEP ONE: List the factors of 18. 18:
5. 5. Example Find the Greatest Common Factor (GCF) of 18 and 27. STEP ONE: List the factors of 18. 18: 1,2,3,6,9,18
6. 6. Example Find the Greatest Common Factor (GCF) of 18 and 27. 18: 1,2,3,6,9,18
7. 7. Example Find the Greatest Common Factor (GCF) of 18 and 27. STEP TWO: List the factors of 27. 18: 1,2,3,6,9,18
8. 8. Example Find the Greatest Common Factor (GCF) of 18 and 27. STEP TWO: List the factors of 27. 18: 1,2,3,6,9,18 27:
9. 9. Example Find the Greatest Common Factor (GCF) of 18 and 27. STEP TWO: List the factors of 27. 18: 1,2,3,6,9,18 27: 1,3,9,27
10. 10. Example Find the Greatest Common Factor (GCF) of 18 and 27. 18: 1,2,3,6,9,18 27: 1,3,9,27
11. 11. Example Find the Greatest Common Factor (GCF) of 18 and 27. STEP THREE: Find the common factors in both list. 18: 1,2,3,6,9,18 27: 1,3,9,27
12. 12. Example Find the Greatest Common Factor (GCF) of 18 and 27. 18: 1,2,3,6,9,18 27: 1,3,9,27
13. 13. Example Find the Greatest Common Factor (GCF) of 18 and 27. 18: 1,2,3,6,9,18 Which is the greatest 27: 1,3,9,27 between 1,3,9 ?
14. 14. Example Find the Greatest Common Factor (GCF) of 18 and 27. 18: 1,2,3,6,9,18 Which is the greatest 27: 1,3,9,27 between 1,3,9 ? GCF is 9
15. 15. Example Find the Greatest Common Factor (GCF) of 15 and 20.
16. 16. Example Find the Greatest Common Factor (GCF) of 15 and 20. STEP ONE: List the factors of 15.
17. 17. Example Find the Greatest Common Factor (GCF) of 15 and 20. STEP ONE: List the factors of 15. 15:
18. 18. Example Find the Greatest Common Factor (GCF) of 15 and 20. STEP ONE: List the factors of 15. 15: 1,3,5,15
19. 19. Example Find the Greatest Common Factor (GCF) of 15 and 20. 15: 1,3,5,15
20. 20. Example Find the Greatest Common Factor (GCF) of 15 and 20. STEP TWO: List the factors of 20. 15: 1,3,5,15
21. 21. Example Find the Greatest Common Factor (GCF) of 15 and 20. STEP TWO: List the factors of 20. 15: 1,3,5,15 20:
22. 22. Example Find the Greatest Common Factor (GCF) of 15 and 20. STEP TWO: List the factors of 20. 15: 1,3,5,15 20: 1,2,4,5,10,20
23. 23. Example Find the Greatest Common Factor (GCF) of 15 and 20. 15: 1,3,5,15 20: 1,2,4,5,10,20
24. 24. Example Find the Greatest Common Factor (GCF) of 15 and 20. STEP THREE: Find the common factors in both list. 15: 1,3,5,15 20: 1,2,4,5,10,20
25. 25. Example Find the Greatest Common Factor (GCF) of 15 and 20. 15: 1,3,5,15 20: 1,2,4,5,10,20
26. 26. Example Find the Greatest Common Factor (GCF) of 15 and 20. 15: 1,3,5,15 Which is the greatest 20: 1,2,4,5,10,20 between 1 and 5 ?
27. 27. Example Find the Greatest Common Factor (GCF) of 15 and 20. 15: 1,3,5,15 Which is the greatest 20: 1,2,4,5,10,20 between 1 and 5 ? GCF is 5
28. 28. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45.
29. 29. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. STEP ONE: List the factors of 27.
30. 30. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. STEP ONE: List the factors of 27. 27:
31. 31. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. STEP ONE: List the factors of 27. 27: 1,3,9,27
32. 32. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. 27: 1,3,9,27
33. 33. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. STEP TWO: List the factors of 36. 27: 1,3,9,27
34. 34. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. STEP TWO: List the factors of 36. 27: 1,3,9,27 36:
35. 35. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. STEP TWO: List the factors of 36. 27: 1,3,9,27 36: 1,2,3,4,9,12,18,36
36. 36. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. 27: 1,3,9,27 36: 1,2,3,4,9,12,18,36
37. 37. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. STEP THREE: List the factors of 45. 27: 1,3,9,27 36: 1,2,3,4,9,12,18,36
38. 38. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. STEP THREE: List the factors of 45. 27: 1,3,9,27 36: 1,2,3,4,9,12,18,36 45:
39. 39. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. STEP THREE: List the factors of 45. 27: 1,3,9,27 36: 1,2,3,4,9,12,18,36 45: 1,3,5,9,15,25
40. 40. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. 27: 1,3,9,27 36: 1,2,3,4,9,12,18,36 45: 1,3,5,9,15,25
41. 41. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. STEP FOUR: Find the common factors in all 3 lists. 27: 1,3,9,27 36: 1,2,3,4,9,12,18,36 45: 1,3,5,9,15,25
42. 42. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. 27: 1,3,9,27 36: 1,2,3,4,9,12,18,36 45: 1,3,5,9,15,25
43. 43. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. 27: 1,3,9,27 36: 1,2,3,4,9,12,18,36 45: 1,3,5,9,15,25 Which is the greatest between 1,3,9 ?
44. 44. Example Find the Greatest Common Factor (GCF) of 27, 36, and 45. 27: 1,3,9,27 36: 1,2,3,4,9,12,18,36 45: 1,3,5,9,15,25 Which is the greatest between GCF is 9 1,3,9 ?