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# Unit 4 lesson 3 greatest common factor

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### Unit 4 lesson 3 greatest common factor

1. 1. Name ______________________________ Date ___________________Mrs. Labuski / Mrs. Portsmore Period _____ Unit 4 Lesson 3Greatest Common Factor TB 4-3 / OC 1-6Essential Question: Why is it important to have strategies to manipulate numbers? VOCABULARY DEFINTION EXAMPLE Common Factor Greatest Common Factor (GCF)Method 1 – List Method. 16: 1, 2, 4, 8 , 16 1. List all the factors of both numbers 24: 1, 2, 3, 4, 6, 8, 12, 24 2. Look for the largest factor that both 16: 1, 2, 4, 8 , 16 numbers have in common. 24: 1, 2, 3, 4, 6, 8, 12, 24 3. Find the Greatest Common Factor The GCF of 16 and 24 is 8. What divisibilityFind the GCF of each set of numbers using the list method. rules can help you? ____(draw the factor trees – it will be very helpful!!!!)1. 32 and 48 2. 45 and 81 3. 18 and 3632 _____________ 45 _____________ 18 _____________48 _____________ 81 _____________ 36 _____________GCF:___________ GCF:___________ GCF:___________
2. 2. Method 2: Prime Factorization to find the GCF.Write the prime factorization of both numbers. 1. Write the prime factorization of each 16: 2 • 2 • 2 • 2 number. (Do not write in exponential form.) 24: 2 • 2 • 2 • 3 Use scrap paper 16: 2 • 2 • 2 • 2 2. Find the common prime factors. 24: 2 • 2 • 2 • 3 3. Find the product of the common 2 •2 •2 = 8 prime factors. The GCF of 16 and 24 is 8. What divisibilityNow you try some: rules can help you? ____(draw the factor trees – it will be very helpful!!!!)1. 6 and 9 2. 4 and 8 3. 8 and 126 _____________ 4_____________ 8_____________9 _____________ 8_____________ 12_____________GCF: _________ GCF:__________ GCF:__________4. 6 and 15 5. 10 and 15 6. 9 and 126 _____________ 10_____________ 9_____________15 _____________ 15_____________ 12_____________GCF: _________ GCF:__________ GCF:__________
3. 3. Name ______________________________ Date ___________________Mrs. Labuski / Mrs. Portsmore Period _____ Unit 4 Lesson 3Greatest Common Factor TB 4-3 / OC 1-6Essential Question: Why is it important to have strategies to manipulate numbers? VOCABULARY DEFINTION EXAMPLE Factors of 12: 1,2,3,4,6,12 Factors shared by Factors of 18: Common Factor two or more whole 1,2,3,6,9,18 numbers Common Factors: 1,2,3,6 The largest of the Common Factors: common factors Greatest Common 1,2,3,6 shared by two or Factor (GCF) 6 is the Greatest more whole Common Factor numbersMethod 1 – List Method. 16: 1, 2, 4, 8 , 16 4. List all the factors of both numbers 24: 1, 2, 3, 4, 6, 8, 12, 24 5. Look for the largest factor that both 16: 1, 2, 4, 8 , 16 numbers have in common. 24: 1, 2, 3, 4, 6, 8, 12, 24 6. Find the Greatest Common Factor The GCF of 16 and 24 is 8. What divisibilityFind the GCF of each set of numbers using the list method. rules can help you?1. 32 and 48 2. 45 and 81 3. 18 and 36 ____32 1,2,4,8,16,32 451,3,5,9,15,45 18 1,2,3,6,9,1848 1,2,3,4,6,8,12,16,24,48 81 1,3,9,27,81 36 1,2,3,4,6,9,12,18,36GCF: 16 GCF: 9 GCF: 18Method 2: Prime Factorization to find the GCF.
4. 4. Write the prime factorization of both numbers. 2. Write the prime factorization of each 16: 2 • 2 • 2 • 2 number. (Do not write in exponential form.) 24: 2 • 2 • 2 • 3 Use scrap paper 16: 2 • 2 • 2 • 2 2. Find the common prime factors. 24: 2 • 2 • 2 • 3 3. Find the product of the common 2 •2 •2 = 8 prime factors. The GCF of 16 and 24 is 8.Now you try some: (draw the factor trees – it will be very helpful!!!!) What divisibility1. 6 and 9 2. 4 and 8 3. 8 and 12 rules can help you? ____62•3 4 2 •2 8 2 •2 •293•3 8 2 •2 •2 12 2 •2 •3 2 •2 2 •2GCF: 3 GCF: 4 GCF: 44. 6 and 15 5. 10 and 15 6. 9 and 126 2•3 10 2 • 5 9 3 • 315 3•5 15 3 • 5 12 2 •2 •3GCF: 3 GCF: 5 GCF: 3
5. 5. #1-3 Use List Method#4-6 Use Prime Factorization Method#7-9 do NOT do