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4-3. Greatest Common Factor. Course 1. Warm Up. Problem of the Day. Lesson Presentation. 4-3. Greatest Common Factor. Course 1. Warm Up Write the prime factorization of each number. ( Draw Factor trees ) 1. 14 3. 63 2. 18 4. 54. 2  7. 3 2  7. 2  3 3. 2  3 2. 4-3.

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  1. 4-3 Greatest Common Factor Course 1 Warm Up Problem of the Day Lesson Presentation

  2. 4-3 Greatest Common Factor Course 1 Warm Up Write the prime factorization of each number. (Draw Factor trees) 1.14 3. 63 2. 18 4. 54 2  7 32  7 2  33 2  32

  3. 4-3 Greatest Common Factor Course 1 objective for today Learn to find the greatest common factor (GCF) of a set of numbers.

  4. 4-3 Greatest Common Factor Course 1 Insert Lesson Title Here Vocabulary greatest common factor (GCF)

  5. 4-3 Greatest Common Factor Course 1 Factors shared by two or more whole numbers are called common factors. The largest of the common factors is called the greatest common factor, or GCF. Factors of 24: Factors of 36: Common factors: 1, 2, 3, 4, 6, 8, 12, 24 1, 2, 3, 4, 6, 9, 12, 18, 36 1, 2, 3, 4, 6, 12 The greatest common factor (GCF) of 24 and 36 is 12. Example 1 shows three different methods for finding the GCF.

  6. 4-3 Greatest Common Factor Course 1 Additional Example 1A: Finding the GCF Find the GCF of the set of numbers. 28 and 42 Method 1: List the factors. factors of 28: factors of 42: List all the factors. 1, 2, 4, 7, 14, 28 1, 2, 3, 6, 7, 14, 21, 42 Circle the GCF. The GCF of 28 and 42 is 14.

  7. Finding GCF : Listing Factors

  8. 4-3 Greatest Common Factor Course 1 Additional Example 1B: Finding the GCF Find the GCF of the set of numbers. 18, 30, and 24 Method 2: Use the prime factorization. 18 = 30 = 24 = 2 • 3 • 3 Write the prime factorization of each number. 2 • 3 • 5 2 • 3 • 2 • 2 Find the common prime factors. Find the product of the common prime factors. 2• 3 = 6 The GCF of 18, 30, and 24 is 6.

  9. Finding the GCF: Using Prime Factorization

  10. 4-3 Greatest Common Factor Course 1 Practice Problem Find the GCF of the set of numbers. 18 and 36 Method 1: List the factors. factors of 18: factors of 36: List all the factors. 1, 2, 3, 6, 9, 18 1, 2, 3, 4, 6, 9, 12, 18, 36 Circle the GCF. The GCF of 18 and 36 is 18.

  11. 4-3 Greatest Common Factor Course 1 Practice Problem Find the GCF of the set of numbers. 10, 20, and 30 Method 2: Use the prime factorization. 10 = 20 = 30 = 2 • 5 2 • 5 • 2 2 • 5 • 3 2• 5 = 10 The GCF of 10, 20, and 30 is 10.

  12. 4-3 Greatest Common Factor Course 1 Practice Problem Find the GCF of the set of numbers. 40, 16, and 24 The GCF of 40, 16, and 24 is 8.

  13. 4-3 Greatest Common Factor Course 1 Insert Lesson Title Here Lesson Quiz: Part I Find the greatest common factor of each set of numbers. 1. 18 and 30 2. 20 and 35 3. 8, 28, 52 4. 44, 66, 88 6 5 4 22

  14. 4-3 Greatest Common Factor Course 1 Insert Lesson Title Here Lesson Quiz: Part II Find the greatest common factor of the set of numbers. 5. Mrs. Lovejoy makes flower arrangements. She has 36 red carnations, 60 white carnations, and 72 pink carnations. Each arrangement must have the same number of each color. What is the greatest number of arrangements she can make if every carnation is used? 12 arrangements

  15. Any Questions?

  16. WHAT WE LEARNED TODAY! Learned to find the greatest common factor (GCF) of a set of numbers.

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