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Chapter 8 Lesson 2.notebook February 28, 2014 1 Chapter 8 Lesson 2.notebook February 28, 2014 2 Chapter 8 Lesson 2.notebook February 28, 2014 3 Chapter 8 Lesson 2.notebook February 28, 2014 New Vocabulary Common Factors: shared factors Greatest Common Factor (GCF): largest shared factors Example: 14 and 28 common factors include 1,2,7,14 greatest common factor is 14 4 Chapter 8 Lesson 2.notebook February 28, 2014 By The End of the Lesson You should understand: you can write the prime factorization to find common factors of two or more numbers the greatest of the common factors of two or more numbers is called the GCF, greatest common factor 5 Chapter 8 Lesson 2.notebook February 28, 2014 Greatest Common Factor 6 Chapter 8 Lesson 2.notebook February 28, 2014 Definition: The Greatest Common Factor is the greatest number that is a factor of two or more numbers. Example: The GCF of 6 and 8 = 2 7 Chapter 8 Lesson 2.notebook February 28, 2014 There are several ways to find the GCF between two numbers. One way that you have learned is just to list the factors. Factors of 12 = (1, 2, 3, 4, 6, 12) Factors of 24 = (1, 2, 3, 4, 6, 8, 12, 24) Then, you circle the common factors and find the largest one which is the........GREATEST COMMON FACTOR! What is the GCF of 12 and 24? 12 Answer 8 Chapter 8 Lesson 2.notebook February 28, 2014 Another way to find the GCF between two numbers is to use a factor tree. 12 24 2 6 4 4 3 2 2 2 X 2 X 3 = 12 2 2 3 2 X 2 X 2 X 3 = 24 GCF = 2 x 2 x 3 = 12 9 Chapter 8 Lesson 2.notebook February 28, 2014 Find the GCF of 12 and 66. (Teacher led) 10 Chapter 8 Lesson 2.notebook February 28, 2014 Find the GCF of 36 and 45. (Teacher led) 11 Chapter 8 Lesson 2.notebook February 28, 2014 Page 557 12 Chapter 8 Lesson 2.notebook February 28, 2014 13 Chapter 8 Lesson 2.notebook February 28, 2014 14 Chapter 8 Lesson 2.notebook February 28, 2014 15 Chapter 8 Lesson 2.notebook February 28, 2014 Homework pages 561562 16 Chapter 8 Lesson 2.notebook February 28, 2014 Vocabulary Cards Review: numerator denominator fraction common factor 17 Chapter 8 Lesson 2.notebook February 28, 2014 18