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Q: What is the greatest common factor of 18 and 20 using listing method?
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Why does the listing method always works to find the greatest common factor?

The greatest common factor of two numbers has to show up on the lists of factors of both numbers.


What is the greatest common factor of 63 and 49 using listing method?

The factors of 49 are:1, 7, 49The factors of 63 are:1, 3, 7, 9, 21, 63The Greatest Common Factor:GCF = 7


Why do you only need common prime number for the geatet common factor?

You don't. You could find the greatest common factor by listing all the factors of a given set of numbers and selecting the largest one common to all the lists. I find the prime factorization method to be faster and easier.


How do you find the greatest common factor using listing method of 18 and 20?

The factors of 18 are:1, 2, 3, 6, 9, 18The factors of 20 are:1, 2, 4, 5, 10, 20The Greatest Common Factor:GCF = 2


What is the greatest common factor of 121 and 132?

121: 11-11 132: 2-2-3-11 Great common factor: 11 Method(s) used: # (used) The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor.


What is the greatest common factor of 196 and 1078?

196: 2-2-2-2-11 1078: 2-7-7-11 Greatest common factor: 22 Method(s) used: # The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor.


Method in finding the GCF?

listing method , factor tree


What is the GCF of 75 and 30?

The greatest common factor of 30 and 75 is 15.Method 1: Listing FactorsList all the factors of both numbers and the highest factor that is the same is the greatest common factor.Factors of 30: 1, 2, 3, 5, 6, 10, 15Factors of 75: 1, 3, 5, 15, 25The greatest common factor is 15.Method 2: Prime FactorizationFind the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.30=2*3*575=3*5*53*5=1530 and 75 share one 3 and one 5. Therefore, the greatest common factor is 15.


What is the greatest common factor method of 132?

It is not possible to give a sensible answer to this question. The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question! There can, therefore, be no method for a question that has no meaning.


What is the greatest common factor of 16 and 18?

The great common factor of 16 and 18 is 2.Method 1: Listing FactorsList all the factors of both numbers and the highest factor that is the same is the greatest common factor.Factors of 16: 1, 2, 4, 8Factors of 18: 1, 2, 3, 6, 9The greatest common factor is 2.Method 2: Prime FactorizationFind the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.16 = 2 * 2 * 2 * 218 = 2 * 3 * 316 and 18 share one 2 as a prime factor. Therefore, the greatest common factor is 2.


What is the greatest common factor of 72 and 54?

The greatest common factor of 54 and 72 is 18.Method 1: Listing FactorsList all the factors of both numbers and the highest factor that is the same is the greatest common factor.Factors of 54: 1, 2, 3, 6, 9, 18, 27Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 36The greatest common factor is 18.Method 2: Prime FactorizationFind the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.54=2*3*3*372=2*2*2*3*32*3*3=1854 and 72 share one 2 and two 3's. Therefore, the greatest common factor is 18.It is 18


What is the Greatest commo factor listing method of 27 and 45?

1, 3, 9, 271, 3, 5, 9, 15, 45