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What are the factors?

What are the factors?. 30. 20. Greatest Common Factor. Greatest Common Factor (GCF). Greatest Common Factor: the largest factor that two numbers share . Factor: one of the numbers being multiplied. Two Ways To Determine GCF. List all the factors and find the greatest common factor

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What are the factors?

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  1. What are the factors? 30 20

  2. Greatest Common Factor

  3. Greatest Common Factor (GCF) • Greatest Common Factor: the largest factor that two numbers share. • Factor: one of the numbers being multiplied

  4. Two Ways To Determine GCF • List all the factors and find the greatest common factor • Prime factorization, find the common factors and multiply

  5. List all the factors 12 42 1 ● 42 Factors of 12: 1, 2, 3, 4, 6,12 1 ● 12 2 ● 21 2 ● 6 3 ● 14 3 ● 4 4 ● ?? Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42 4 ● 3 5 ● ?? 6 ● 7 7 ● 6 Common Factors: 1, 2, 3, 6 Greatest Common Factor: 6

  6. What is the GCF of 18 and 27? 18 27 Factors of 18: 1, 2, 3, 6, 9, 18 1 ● 18 1 ● 27 2 ● ? 2 ● 9 3 ● 9 3 ● 6 Factors of 27: 1, 3, 9, 27 4 ● ? 5 ● ? 4 ● ? 6 ● ? 5 ● ? 7 ● ? Common Factors: 1, 3, 9 8 ● ? 6 ● 3 9 ● 3 GCF: 9

  7. What is the GCF of 48 and 60? Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 48 60 1 ● 48 1 ● 60 2 ● 30 2 ● 24 3 ● 20 3 ● 16 4 ● 15 Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 4 ● 12 5 ● 12 6 ● 8 6 ● 10 Common Factors: 1, 2, 3, 4, 6, 12 GCF: 12

  8. Using Prime Factorization • Find the prime factorization of each number. • Identify the common factors and multiply them.

  9. GCF of 27 and 36 27= 3 x 3 x 3 27 36 36= 3 x 3 x 2 x 2 2 x 18 3 x 9 3 x 3 = 9 GCF= 9 2 x 9 3 x 3 3 x 3

  10. GCF of 15 and 25 15 25 5 x 5 3 x 5 15= 3 x 5 25= 5 x 5 GCF= 5

  11. Practice- Use either method GCF of 12 and 48 GCF of 6 and 30 3. GCF of 12, 24, and 63

  12. Check Your Work- List Factors 12: 1, 2, 3, 4, 6, 12 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 2. 6: 1, 2, 3, 6 30: 1, 2, 3, 5, 6, 10, 15, 30 3. 12: 1, 2, 3, 4, 6, 12 24: 1, 2, 3, 4, 6, 8, 12, 24 63: 1, 3, 7, 9, 21, 63

  13. Check Your Work- Prime Factorization 12: 2 x 2 x 3 2 x 2 x 3 = 12 48: 2 x 2 x 3 x 2 x 2 2. 6: 2 x 3 2 x 3 = 6 30: 2 x 3 x 5 3. 12: 2 x 2 x 3 24: 2 x 2 x 3 x 2 3 63: 3 x 3 x 3 x 7

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