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Greatest Common Factor and Least Common Multiples GCF and LCM. What is the difference between a factor and a multiple?. Give me an example of a factor of 15. Give me an example of a multiple of 15. How would you find the GCF of 60 and 96?.

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## Greatest Common Factor and Least Common Multiples GCF and LCM

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**Greatest Common Factor and Least Common MultiplesGCF and LCM****There are actually 2 ways. You can use prime factorization,**or write out all the prime factors for each number.**List the factors of 60:1,2,3,4,5,6,10,12,15,20,30,60List the**factors of 961,2,3,4,6,8,12,16,24,32,48,96find the largest factor - 12**…or do prime factorization. Circle all the primes the 2**numbers have in common and multiply one set of them to get your GCF. 96 60 48 2 2 30 24 2 15 2 12 2 3 5 6 2 2 x 2 x 3 = 12 2 3**96**24 36 48 2 2 12 18 2 24 2 6 9 2 2 12 2 3 2 3 3 6 2 144 2 3 12 12 3 4 2 x 2 x 3 = 12 3 4 2 2 2 2**There are 2 ways to find the LCM as well. You can list the**multiples of the numbers or do prime factorization. Find the LCM of 12 and 18**Multiples of 12 are…12,24,36,48,60,72,….Multiples of 18**are…18,36,54,72,90,108,…The smallest multiple the 2 numbers have in common is the least common multiple.**…or do prime factorization. Write down the number they**have in common only once, then write down the leftover numbers. Multiply them all together. 12 18 9 4 2 3 3 3 2 2 Numbers in common are 2 and 3 Leftover numbers are 2 and 3 2 x 3 x 2 x 3 = 36**245**35 420 42 5 49 10 5 7 5 7 7 2 6 7 2 3 Numbers they have in common: 5 and 7 Leftover numbers: 2, 3, 2, 7 Multiply them all together: 5 x 7 x 2 x 3 x 2 x 7 = 2940

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