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Q: How are gcf LCM and prime factorization related?

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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.

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

The GCF of 6 and 20 is 2.The prime factorization of 6 is 2*3.The prime factorization of 20 is 2*2*5.So the GCF is 2.

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.

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.

Related questions

To answer GCF and LCM questions.

They are: 12 and 360 respectively

Prime factorization is the result of expressing a number as the product of its prime factors. It will assist you in finding the GCF and LCM of any given number set.

Prime Factorization: 72= 2x2x2x3x3 44=2x2x11 GCF: 2x2 =4 LCM: 2x2x2x3x3x11=792

22 x 33 is the prime factorization of 108. If you have another prime factorization, we can find a GCF and an LCM between the two.

To find both you start by doing a prime factorization, but then you do something a little different.

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.

In each of these, you are best to start out finding the prime factors.

Once you have the prime factorization, it is much easier to find the factors, the proper factors, the GCF and LCM.

Prime factorization of 32 = 2x2x2x2x2 Prime factorization of 90 = 2x3x3x5 Prime factorization of 30 = 2x3x5 What is common in the prime factorization of the numbers? Only 2 is common, so GCF is 2.

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

Use prime factorization to find the gcf of 65 and 195

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