Presentation on theme: "OMG! Its… GCF Greatest Common Factor"— Presentation transcript:
1OMG! Its… GCF Greatest Common Factor Prepare for Cornell notes
2GFC…just break it down GFC is simply …. the greatest number that is a factor of two or more numbers …. is called Greatest Common Factor.Greatest number = the highest possible numberFactor = a number that makes up a productExample: 3 x 2 = ,2 are the factors and 6 is the productFactor….. Think of factsFacts make up a story.Facts are all the smaller details thattogether make the whole storyso…..
3Factors make the Product Just as facts make the storyFactors should always be smaller than the numbers you are comparing…or at least same as one of the numbers.Example:Find the GCF of 6 and 126 is a factor of 12 ….2x6 =126 is a factor of 6 …..1x6= 6
4Method to Finding GCF The are 2 basic methods to finding GCF Depending on your style you may prefer one over the other. However, you will learn both and will be able to successfully use both as you will be asked on various tests to prove that you can solve using a particular method.The methods are referred to as1. Listing Method2.Prime factorization aka “factor trees”There is a brain pop that is helpful for prime factorization ….if you have time…<3 tiff
5Listing Method Find the GCF of 12 and 20 1) List the factors of each. 2) Pick out the common factors3) Select the Greatest.Easy- Squeezie!!
6What is a Prime Factor?!? Prime Factor …. Prime factorization…. Number that can not be factored any lower/smaller than 1, and itself …. Like 2, 3, 5, 7, Not 6… 2x3 or 8…2x4 is finding the factors of a number that are all prime.Brain Pop for this!!! Prime Factorization
7Prime Factorization aka “Factor Trees” Easy to remember …THEY LOOK LIKE TREES!!Christmas to be exact.
8Prime factorization84/ \42 x 2 (84 is 42 times 2)21 x 2 (42 is 21 times 2)/ \7 x 3 (21 is 7 times 3)(7 and 3 are both prime, so we stop!)So the prime factors of 84 are 7 x 3 x 2 x 2. Here's how you do it: Find 2 factors of your number. Then look at your 2 factors and determine if one or both of them is not prime. If it is not a prime factor it. Repeat this process until all your factors are prime.Find the prime factors of the number 84: on you white board….hold it up when you done.Here's an example:
9Using Prime Factorization to find GCF 1) Create a factor tree for both numbers.2) Circle the Common Prime the end)3) Multiply the common prime factors.4) The product (answer) is your GCF!!Find the GCF of 30 & / \ / \ /\ /\ x5x2= 30 /\ 2 2 2x3x2x2= 24 2x3=6 6 is the GCF!!!!