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GCF NOTES.notebook September 11, 2014 GREATEST COMMON FACTOR (GCF) _______________ ______________ ________________ (GCF) the greatest factor of two or more given numbersÍž this means you have to find the biggest number which goes into the given numbers evenly. * There may be a few common factors, but there can only be one GCF. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Let's find the GCF of 24 & 36 Method #1 Use the "sled" method. Step 1: Put both number in the "sled." Start by seeing what number will go into BOTH numbers. If both numbers are even, "2" is a good starting point. Continue asking yourslef what numbers will go into BOTH numbers. 24 36 Step 2: Continue dividing until you can't divide both number by a common factor. Step 3: Circle the factors which went into both numbers these are the common to both 24 & 36. Step 4: Multiply the circled numbers to get the GCF GCF = ____ x ____ x ____ = ____ This means "____" is the largest number which will go into both 24 and 36! 1 GCF NOTES.notebook September 11, 2014 Another method for finding the GCF It is easier to miss a factor this way, so I recommend using method #1! METHOD #2: Find the factors for both numbers and then locate the greatest number which is a factor of both numbers. Pick a way to find factor pairs (refer to the "Factors" notes if needed). ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Step 1: Find the factor pairs (use any of the three methods). 24 36 Step 2: Locate (circle) the greatest number which is a factor for BOTH numbers. GCF = ____ 2 GCF NOTES.notebook September 11, 2014 GCF EXAMPLES 1) Find the GCF of 16 & 80 using both methods. SLED FACTOR PAIRS 2) Find the GCF of 15 & 32. SLED FACTOR PAIRS 3) Find the GCF of 36 & 54. SLED FACTOR PAIRS 3 GCF NOTES.notebook September 11, 2014 4