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Lesson 5-2 Pages 203-206 Greatest Common Factor Lesson Check 5-1 What you will learn! How to find the greatest common factor of two or more numbers. Greatest common factor (GCF) What you really need to know! The greatest common factor (GCF) of two or more numbers is the largest number that is a factor of each number. The GCF of prime numbers is 1. Example 1: Method 1 Find the GCF of 28 and 42. Common Factors 28 42 1 x 28 1 x 42 1 2 x 14 2 x 21 2 4 x 7 3 x 14 7 6 x 7 14 GCF 14 Example 1: Method 2 Find the GCF of 28 and 42. 28 = 2 x 2 x 7 42 = 2 x 3 x 7 2 x 7 = 14 GCF Example 2: Method 2 Find the GCF of 20 and 32. 20 = 2 x 2 x 5 32 = 2 x 2 x 2 x 2 x 2 2 x 2 = 4 GCF Example 3: Find the GCF of 21, 42 and 63. 21 = 3 x 7 42 = 2 x 3 x 7 63 = 3 x 3 x 7 3 x 7 = 21 GCF Example 4: Find the GCF: 2•2•3•y•y 3 30y = 2 • 3 • 5 • y • y • y 2 12y = 2•3•y•y= 2 6y Example 5: Searra wants to cut a 15 cm by 25 cm piece of tag board into squares for an art project. She does not want to waste any of the tag board and she wants the largest squares possible. What is the length of the side of the squares she should use? 15 = 3 x 5 25 = 5 x 5 The squares should be 5cm on each side. Page 205 Guided Practice #’s 4-8 Read: Pages 203-204 with someone at home and study examples! Homework: Page 205-206 #’s 10-32 even #’s 38-51 Lesson Check 5-2 Page 574 Lesson 5-2 Lesson Check 5-2