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Greatest Common Factor
- 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
- 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.
- 9. Are these number Prime or Composite?
- 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
- 11. How Do You Find the Greatest Common Factor (GCF) Using Prime Factorization?
- 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
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
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