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# Updated sec. 5.2

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### Updated sec. 5.2

1. 1. What is the biggest number that you can divide both 16 and 24 by?
2. 2. Learning Target: Students will learn how to find the greatest common factor (GCF) of two or more numbers and they will learn the different strategies for doing so.
3. 3. A common factor is a whole number that is a factor of two or more nonzero whole numbers. The biggest of the common factors is called the greatest common factor (GCF)
4. 4. There are 3 methods for finding the GCF. 1. List all the factors. (rainbow) 2. Factor Tree and multiply the common numbers to find GCF. 3. CAKE – multiply the numbers on the left side of the cake
5. 5. Find the GCF of 14, 35. 1. List all the factors. (rainbow) 14: 1, 2, 7, 14 35: 1, 5, 7, 35 Common factors: 1, 7 GCF: 7
6. 6. Find the GCF of 12, 54 2. Factor Tree and multiply the common numbers to find GCF. 12 54 3 4 6 9 3 2 2 2 3 3 3 2 x 3 = 6 GCF = 6
7. 7. Find the GCF of 27, 45 3. CAKE – multiply the numbers on the left side of the cake 2, 3, 5, 7, 11, 13 3 27 45 3 9 15 3 5 GCF = 3 x 3 = 9
8. 8. CAKE works the same as the ladder except both numbers must be divisible by the number before you write it down in each step and you stop when one or both of your numbers turn prime. Then to find the GCF you multiply the numbers on the left side of the cake. This works the same when you are given three numbers.
9. 9. Find the GCF using any of the methods. 20, 75 12, 21, 30
10. 10. Answers: 20, 75 GCF: 5 12, 21, 30 GCF: 3
11. 11. Can you find the greatest common factor (GCF) of two or more numbers?