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9.1 Factors and Greatest Common Factors Part 2

9.1 Factors and Greatest Common Factors Part 2. Objective: To be able to find the greatest common factor of monomials. GCF. The greatest common factor is the greatest number that is a factor of both original numbers. Hint:

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9.1 Factors and Greatest Common Factors Part 2

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  1. 9.1 Factors and Greatest Common FactorsPart2 Objective: To be able to find the greatest common factor of monomials.

  2. GCF The greatest common factor is the greatest number that is a factor of both original numbers. Hint: • The GCF of two or more monomials is the product of the prime factors common to the integers.

  3. Relatively Prime If two or more monomials have a GCF of 1, then they are said to be relatively prime. Give an example of two integers that are relatively prime.

  4. How to Use Prime Factorization to find the GCF of Two Monomials: Steps: • List the prime factorization of each term horizontally. **Use the FACTOR TREE** • Circle each number or variable that all of the terms have in common. • Copy down each number or variable ONCE. • Multiply what you have. That is the GCF.

  5. Example 1 Find the GCF of each monomial using prime factorization. • 24 and 36

  6. Example 1 Find the GCF of each monomial using prime factorization. • 54, 63, and 180

  7. Example 2 Find the GCF of each monomial using prime factorization. • 36x2y and 54xy2z

  8. Example 2 Find the GCF of each monomial using prime factorization. • 12a2b and 90a2b2c

  9. Example 2 Find the GCF of each monomial using prime factorization. • 24gh and 36g2h2

  10. Classwork TB p. 478 #48 – 60 even

  11. Homework TB p. 478 #49 – 61 odd

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