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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. ExampleFind the Greatest Common Factor (GCF)of 18 and 27.
3. 3. ExampleFind the Greatest Common Factor (GCF)of 18 and 27.STEP ONE: List the factors of 18.
4. 4. ExampleFind the Greatest Common Factor (GCF)of 18 and 27.STEP ONE: List the factors of 18. 18:
5. 5. ExampleFind 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. ExampleFind the Greatest Common Factor (GCF)of 18 and 27. 18: 1,2,3,6,9,18
7. 7. ExampleFind 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. ExampleFind 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. ExampleFind 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. ExampleFind 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. ExampleFind the Greatest Common Factor (GCF)of 18 and 27. 18: 1,2,3,6,9,18 27: 1,3,9,27
13. 13. ExampleFind 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. ExampleFind 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. ExampleFind the Greatest Common Factor (GCF)of 15 and 20.
16. 16. ExampleFind the Greatest Common Factor (GCF)of 15 and 20.STEP ONE: List the factors of 15.
17. 17. ExampleFind the Greatest Common Factor (GCF)of 15 and 20.STEP ONE: List the factors of 15. 15:
18. 18. ExampleFind the Greatest Common Factor (GCF)of 15 and 20.STEP ONE: List the factors of 15. 15: 1,3,5,15
19. 19. ExampleFind the Greatest Common Factor (GCF)of 15 and 20. 15: 1,3,5,15
20. 20. ExampleFind the Greatest Common Factor (GCF)of 15 and 20.STEP TWO: List the factors of 20. 15: 1,3,5,15
21. 21. ExampleFind the Greatest Common Factor (GCF)of 15 and 20.STEP TWO: List the factors of 20. 15: 1,3,5,15 20:
22. 22. ExampleFind 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. ExampleFind 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. ExampleFind the Greatest Common Factor (GCF)of 15 and 20. 15: 1,3,5,15 20: 1,2,4,5,10,20
26. 26. ExampleFind 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. ExampleFind 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. ExampleFind the Greatest Common Factor (GCF)of 27, 36, and 45.
29. 29. ExampleFind the Greatest Common Factor (GCF)of 27, 36, and 45.STEP ONE: List the factors of 27.
30. 30. ExampleFind the Greatest Common Factor (GCF)of 27, 36, and 45.STEP ONE: List the factors of 27.27:
31. 31. ExampleFind the Greatest Common Factor (GCF)of 27, 36, and 45.STEP ONE: List the factors of 27.27: 1,3,9,27
32. 32. ExampleFind the Greatest Common Factor (GCF)of 27, 36, and 45.27: 1,3,9,27
33. 33. ExampleFind the Greatest Common Factor (GCF)of 27, 36, and 45.STEP TWO: List the factors of 36.27: 1,3,9,27
34. 34. ExampleFind the Greatest Common Factor (GCF)of 27, 36, and 45.STEP TWO: List the factors of 36.27: 1,3,9,2736:
35. 35. ExampleFind the Greatest Common Factor (GCF)of 27, 36, and 45.STEP TWO: List the factors of 36.27: 1,3,9,2736: 1,2,3,4,9,12,18,36
36. 36. ExampleFind the Greatest Common Factor (GCF)of 27, 36, and 45.27: 1,3,9,2736: 1,2,3,4,9,12,18,36
37. 37. ExampleFind 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. ExampleFind 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. ExampleFind 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. ExampleFind the Greatest Common Factor (GCF)of 27, 36, and 45.27: 1,3,9,2736: 1,2,3,4,9,12,18,3645: 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. ExampleFind the Greatest Common Factor (GCF)of 27, 36, and 45.27: 1,3,9,2736: 1,2,3,4,9,12,18,3645: 1,3,5,9,15,25
43. 43. ExampleFind the Greatest Common Factor (GCF)of 27, 36, and 45.27: 1,3,9,2736: 1,2,3,4,9,12,18,3645: 1,3,5,9,15,25 Which is the greatest between 1,3,9 ?
44. 44. ExampleFind the Greatest Common Factor (GCF)of 27, 36, and 45.27: 1,3,9,2736: 1,2,3,4,9,12,18,3645: 1,3,5,9,15,25 Which is the greatest between GCF is 9 1,3,9 ?