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# Day 10 greatest common factor

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### Day 10 greatest common factor

1. 1. 1 Do Now AIM: Greatest Common Factor
2. 2. 2
3. 3. 3 Anticipatory Set 1.) Define Greatest. 2.) Define Common. 3.) Define Factor. Greatest Common Factor
4. 4. 4 1.) Based on methods you have used in previous math classes, find the greatest common factor of the following numbers. 24: 36: 2.) Explain the method you used to find the greatest common factor. Anticipatory Set: 1, 2, 3, 4, 6, 8, 12, 24 1, 2, 3, 4, 6, 9, 12, 18, 36
5. 5. 5 3.) Find the Prime Factorizations of the following numbers. Write the answer in exponential form. 24 36
6. 6. 6 3.) Find the Prime Factorizations of the following numbers. Write the answer in exponential form. 24 36 6 4 6 6 3 2 2 2 3 32 2
7. 7. 7 3.) Find the Prime Factorizations of the following numbers. Write the answer in exponential form. 24 36 6 4 6 6 3 2 2 2 3 32 2
8. 8. 8 3.) Find the Prime Factorizations of the following numbers. Write the answer in exponential form. 24 36 6 4 6 6 3 2 2 2 3 32 2 24 = 23 3 36 = 22 32
9. 9. 9 3.) Find the Prime Factorizations of the following numbers. Write the answer in exponential form. 24 36 6 4 6 6 3 2 2 2 3 32 2 24 = 23 3 36 = 22 32 Finding Greatest Common Factor: The product of the smallest power of each common factor.
10. 10. 10 Think-Pair-Share Activity: Find the greatest common factor of the following numbers using the prime factorizations of the numbers. 1.) 40 56
11. 11. 11 2.) 9 16
12. 12. 12 3.) 84 54 144
13. 13. 13 Extra Practice
14. 14. 14 4.) The parents are making sandwiches for the class picnic. They have 72 turkey slices, 48 cheese slices, and 96 tomato slices. What is the greatest number of sandwiches they can make if each sandwich has the same filling? (Use the prime factorizations of the numbers)
15. 15. 15 5.) Two bicycle enthusiasts are leaving Cincinnati at the same time. One is biking 840 miles to Boston. The other is biking 440 miles to Atlanta. What is the greatest number of miles a day each can bike if they want to cover equal distances each day?
16. 16. 16 1.) Why is the Greatest Common Factor of several numbers the “Greatest” when it is less than or equal to the numbers? BEFORE YOU LEAVE:
17. 17. 17 Homework: Pages 84-85 #11-13 all, 21-25 all, 38, 39, 41, 46-49 all Mr. Tjersland's Math 7