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# Greatest Common Factor

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### Greatest Common Factor

1. 1. Agenda Tuesday, Dec. 1 homework 10 p. 193 #1 - 20, 25 - 28 Do Now Write using exponents 1. Evaluate: 4x 2 + 3 for x = -5 4(-5) 2 + 3 4 * 25 + 3 100 + 3 = 103 Correct homework 4-3 Prime Factorization & Greatest Common Factor
2. 8. A Prime number can only be divided evenly by itself AND one. One is not a prime because it can ONLY be divided evenly by one.
3. 9. Are these number Prime or Composite?
4. 10. Prime factorization - a composite number written as the product of it's prime factors Divide by prime numbers beginning with 2. Gather the primes and put in exponential form. 2*3*3 2*3 2 18 2 9 3 3
5. 11. How Do You Find the Greatest Common Factor (GCF) Using Prime Factorization?
6. 12. Prime Factors of 20 Prime Factors of 12 Greatest Common Factor (GCF) 1) Which numbers are in both circles? 2, 2 2) Find the product of the numbers that are in both circles. 4
7. 13. Prime Factors of 20 Prime Factors of 12 20 = 2 x 2 x 5 12 = 2 x 2 x 3 3 2 2 5 The Greatest Common Factor (GCF) is the product of the common prime factors. The GCF of 12 and 20 is 4. Move the rectangle to check your answer.
8. 14. Prime Factors of 28 Prime Factors of 16 28 = 2 x 2 x 7 16 = 2 x 2 x 2 x 2 Directions: Find the prime factorization of each number. Use the Venn diagram below to show the prime factors of 16 and 28. Then use it to find the GCF.
9. 15. Prime Factors of 56 Prime Factors of 42 56 = 2 x 2 x 2 x 7 42 = 2 x 3 x 7 Directions: Find the prime factorization of each number. Use the diagram below to show the prime factors of 42 and 56. Then use it to find the GCF.
10. 16. Directions: Use Venn diagrams to find the GCF of each set of numbers. 1) 20, 30 GCF = 10 2) 16, 40 GCF = 8 3) 21, 45 GCF = 3 4) 27, 45 GCF = 9 Move the rectangles to check your answers.
11. 17. Directions: Use Venn diagrams to find the GCF of each set of numbers. 1) 20, 30 GCF = 10 2) 16, 40 GCF = 8 3) 21, 45 GCF = 3 4) 27, 45 GCF = 9 Move the rectangles to check your answers.
12. 18. Directions: Use Venn diagrams to find the GCF of each set of numbers. 1) 20, 30 GCF = 10 2) 16, 40 GCF = 8 3) 21, 45 GCF = 3 4) 27, 45 GCF = 9 Move the rectangles to check your answers.
13. 19. Directions: Use Venn diagrams to find the GCF of each set of numbers. 1) 20, 30 GCF = 10 2) 16, 40 GCF = 8 3) 21, 45 GCF = 3 4) 27, 45 GCF = 9 Move the rectangles to check your answers.
14. 20. Attachments