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Math / Period NamePre-Algebra Chapter 2Prime Factorization, GCF & LCMVocabularyDefinitionExamplePrime Factorization Greatest Common Factor (GCF)Least Common Multiple (LCM) -5207004203701212Factors450977079375MultiplesMultiples4738370-68072000SOLVING FOR GREATEST COMMON FACTOR (GCF)00Tree MethodTree Method7240Step 1:Write the numbers out next to each other. Step 2:Use prime numbers to identify factors of each numberStep 3:Circle prime factors and keep factoring until all numbers are circled PRIME FACTORS.Step 4: Write out the prime factorization of each number.Step 5:Circle the prime factors that both factors have in common.Step 6:Multiply each pair of circled factors together to find the GCF. 4852035-79756000SOLVING FOR GREATEST COMMON FACTOR (GCF) -62865251460Ladder MethodLadder Method7240Step 1:Write the two numbers on a line.Step 2:Draw an upside side down division symbol (“L Shape”)Step 3:Divide using prime numbers to break the number into factors.Step 4:Keep dividing, one step at a time, using prime numbers, until you have ONLY PRIME NUMBERS remaining under the final division symbol. Step 5:Circle the numbers to the left of the ladder (making a large G for GCF)Step 6:Multiply the circled prime numbers together to find the GCF.2337435150495004622801-80009900SOLVING FOR LEAST COMMON MULTIPLE (LCM)-6223042545List MethodList Method72:40:Step 1:Write the two numbers, one above the other.Step 2:Calculate and list out the multiples of each number.Step 3:Circle the multiples that appear in both lists.-51943019558000Ladder MethodLadder Method7240Step 1:Follow the steps for finding GCF using the Ladder MethodStep 2:Instead of circling the letters on the left side, make a circle including ALL the PRIME FACTORS, which will be an L shape.Step 3:Multiply the circled numbers together to find the LCM. ................
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