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5.2 Greatest Common Factor

5.2 Greatest Common Factor. Finding the Greatest Common Factor. 9. 36. 18. 7. 28. 14. Let’s review the Cake Method. For example,. Find the GCF of 28 and 36. Hmm…. What number can divide both 28 and 36?. Hmm…. What number can divide both 14 and 18?. Hmm….

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5.2 Greatest Common Factor

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  1. 5.2 Greatest Common Factor .

  2. Finding the Greatest Common Factor 9 36 18 7 28 14 Let’s review the Cake Method For example, Find the GCF of 28 and 36 Hmm…. What number can divide both 28 and 36? Hmm…. What number can divide both 14 and 18? Hmm…. What number can divide both 7 and 9? 2 2 Multiply all of the side numbers to find the GCF 1 The GCF is 4.

  3. Finding the Greatest Common Factor 4a 2a 2 6ab 3ab 3b Now let’s apply variables! For example, Find the GCF of 6ab and 4a 2 a Multiply all of the side numbers and variables to find the GCF 1 The GCF is 2a.

  4. Finding the Greatest Common Factor 4xy2 4y2 4y 3x2y 3xy 3x Let’s kick it up a notch! For example, Find the GCF of 3x2y and 4xy2 3x2y 3 • x • x • y 4y2 4 • y • y x y 1 The GCF is xy.

  5. Examples 35c 5c 5 14c2 2c2 2c A) Find the GCF of 14c2 and 35c 7 c 2c2 2 • c • c 1 The GCF is 7c.

  6. Examples 4a2b 2a2b 2 2b 2ab 6a3b 3a 3a3b 3a2b 3ab B) Find the GCF of 6a3b and 4a2b 2 a 3a3b 3 • a • a • a • b 2a2b 2 • a • a • b a b Once you get the hang of this method, you can start to factor out more than 1 variable, like a2 or a2b. 1 2• a • a • b The GCF is 2a2b.

  7. Try 3 numbers: 36, 60,96

  8. Relatively Prime • Numbers whose GFC is 1 Example: -8, 15 -64, 81

  9. Homework Page 227 (15-46 even)

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