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GCF

GCF. Warm – Up!!. Good Morning! As you walk in, pick up your calculator and Unit 6 Guided Notes from the podium. Name 3 prime numbers. What are the factors of 24? What are the factors of 15?. Prime Numbers and Composite Numbers. A prime number is a.

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GCF

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  1. GCF

  2. Warm – Up!! • Good Morning! As you walk in, pick up your calculator and Unit 6 Guided Notes from the podium. • Name 3 prime numbers. • What are the factors of 24? • What are the factors of 15?

  3. Prime Numbers and Composite Numbers A prime numberis a number that can only be divided by only one and itself. A composite numberis a number greater than one that is not prime and has factors.

  4. Prime or Composite?89 • Prime • Composite • Both • Neither

  5. Prime Factorization: breaking down large numbers into smaller prime numbers.Example1) Find the prime factorization of 84. 84 = 4 • 21 = 2 • 2 • 3 • 7 = 22 • 3 • 7

  6. Example 2) Find the prime factorization of -210.

  7. Example 3) Find the prime factorization of 45a2b3 45a2b3 = 9 • 5 • a • a • b • b •b = 3 • 3 • 5 • a • a • b • b • b = 32 • 5 • a • a • b • b • b Write the variables without exponents.

  8. What is the prime factorization of 48? • 3  16 • 3  4  4 • 2  2  3  4 • 2  2  2  2  3

  9. The Greatest Common Factor (GCF)of 2 or more numbers is the largest number that can divide into all of the numbers. Example 4) Find the GCF of 42 and 60.

  10. Example 4) Find the GCF of 42 and 60. • = 2 • 3 • 7 60 = 2 • 2 • 3 • 5 What prime factors do the numbers have in common? Multiply those numbers. The GCF is 2 • 3 = 6 6 is the largest number that can go into 42 and 60!

  11. What is the GCF of 48 and 64? • 2 • 4 • 8 • 16

  12. 5) Find the GCF of 40a2b and 48ab4. 40a2b = 2 • 2 • 2 • 5 • a • a • b 48ab4 = 2 • 2 • 2 • 2 • 3 • a • b • b • b • b What do they have in common? Multiply the factors together. GCF = 8ab

  13. Now Let’s Apply GCF to Polynomials!!

  14. You Try!!

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