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Warm - Up

Learn how to find the GCF using Prime Factorization & the Figure Four method. Practice listing factors of numbers. Solve problems using GCF.

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Warm - Up

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  1. Warm - Up Review Notes… What is a Factor? Describe how you would list the factors of a number?

  2. Topic Greatest Common Factor GCF

  3. Tonight’s Homework (8/29) Find the greatest common factor of the numbers. Using PRIME FACTORIZATION or THE FIGURE FOUR. 99 and 165 132 and 198 88 and 165 168 and 450

  4. Essential Question • How would you explain the process of finding the greatest common factor (GCF) of two or more numbers?

  5. Key Terms • Common Factor • Greatest Common Factor (GCF) • Factor Tree • Factor Rainbow • Figure Four

  6. Common Factor • A whole number that is a factor of two or more numbers

  7. Greatest Common Factor (GCF) • The Greatest of the Common Factors • Another name for Greatest Common Factor is… Greatest Common Divisor (GCD) - This is used when working with fractions

  8. Factor Tree • A diagram that can be used to write the prime factorization of a number.

  9. Factor Rainbow • A visual used to list the factors of a number in numerical order.

  10. Figure Four • A method, using division, used to help find the Greatest common factor between two numbers

  11. Example 1 • Write the Factors of 28, 42, and 70 • 28: • 70:

  12. Example 1 • Write the Factors of 28, 42, and 70 • 28: 1, 2, 4, 7, 14, 28 • 42: 1, 2, 3, 6, 7, 14, 21, 42 • 70: 1, 2, 5, 7, 10, 14, 35, 70

  13. Example 1 • Write the Factors of 28, 42, and 70 • 28: 1, 2, 4, 7, 14, 28 • 42: 1, 2, 3, 6, 7, 14, 21, 42 • 70: 1, 2, 5, 7, 10, 14, 35, 70

  14. Guided Practice • Find the GCF… 16, 28 14, 91

  15. Using the GCF to Solve Problems • (see pg. 10) • (pg. 13 – number 44)

  16. Using Prime Factorization to Find the GCF • Find the Prime Factors of 90 & 150 • Use a factor tree to solve

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