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You can find the GCF and/or the LCM of a set of numbers by comparing the prime factorizations of the individual members of the set.

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Q: How are gcf LCM and prime factorization related?
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How do you find GCF and LCM?

To find the GCF and the LCM you have to first at least try to use prime factorization. So use factor trees. Or for the LCM find th least common multiples of the number.


What is the GCF for 27 and 49?

Prime factorization of 27 = 3x3x3 Prime factorization of 49 = 7x7 From the prime factorizations it is clear that gcf is 1.


What is the gcf of 18 and 16 in math?

The GCF is 2. The prime factorization of 18 is 2x3x3 and the prime factorization of 16 is 2x2x2x2. They both have one 2 in common so that would be the greatest common factor.


What is the LCM of 11 and 12 and how do you solve it?

11 is prime, so it won't have any factors in common with 12. In this case multiply them and get 132, the LCM.There are many methods of finding the LCM of two numbers.Method 1:Method of prime factorization is one of the methods.Prime factorization of 11 = 11(11 is prime)Prime factorization of 12 = 2x2x3Is there anything common in the factorization of both numbers? Nothing, so in this case we multiply 11 and 12 to get our LCM: 11 x 12 =132.Method 2:There is a relation between LCM and GCF of two numbers a and b:LCM(a,b) x GCF(a,b) = Product of a and bSince 11 and 12 are consecutive numbers then their GCF is 1 and product of 11 and 12 is 132.Putting the values in the relation we get:LCM(11,12) x 1 = 132LCM(11,12) = 132/1 = 132Not every time we need to go through these methods, here is a trick to remember: LCM of two consecutive numbers is equal to their product.11 and 12 are consecutive numbers so their LCM is 11 x 12 = 132.


What is the greatest common factor of 88 96 and 120?

The GCF of 88, 96, 120 is 8. The prime factorization of 88 is 2*2*2*11 The prime factorization of 96 is 2*2*2*2*2*3 The prime factorization of 120 is 2*2*2*3*5 The GCF is 2*2*2 = 8.