1 / 5

Finding the Greatest Common Factor (GCF)

Finding the Greatest Common Factor (GCF). Chapter 10.8. What is Factoring?. Factoring is a method to find the numbers and/or variables that make up a product. (Factor) x (Factor) = Product Prime Numbers , have only 2 factors, themselves and 1. Greatest Common Factor (GCF).

darrin
Download Presentation

Finding the Greatest Common Factor (GCF)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Finding the Greatest Common Factor(GCF) Chapter 10.8

  2. What is Factoring? • Factoring is a method to find the numbers and/or variables that make up a product. • (Factor) x (Factor) = Product • Prime Numbers, have only 2 factors, themselves and 1

  3. Greatest Common Factor (GCF) • The Greatest Common Factor (GCF) is the LARGEST FACTOR shared by two or more terms. • ALWAYS try this factoring method 1st before any other method • Divide Out the Biggest common number/variable from each of the terms

  4. Finding the Greatest Common Factor Method #1 – Backwards Distributive Property • Look at each term, see if there is any number that ALL the coefficients can be divided by with no remainder. Write the number outside the parenthesis. • Write any variable that appears in ALL terms outside of the parenthesis. • Raise the variable outside of the parenthesis by the smallest exponent found in your polynomial. YOU NOW HAVE THE GREATEST COMMON FACTOR WRITTEN OUTSIDE OF THE PARENTHSIS. • Divide the polynomial by the GCF, write the quotient inside the parenthesis.

  5. Finding the Greatest Common Factor Method #2 – List and Match • Look at each term of your polynomial on a separate line. • List the prime factors for each term. • Circle the “Matching” factors that appear in each term. • Multiply what you have circled – THIS IS the GCF! Write it outside of the parenthesis. • Multiply what’s “leftover” for each term, write that inside the parenthesis.

More Related