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Example: 30 and 42
The factors of 30 are:
1, 2, 3, 5, 6, 10, 15, 30
The factors of 42 are:
1, 2, 3, 6, 7, 14, 21, 42
The common factors are:
1, 2, 3, 6
The Greatest Common Factor:
GCF = 6
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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.
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 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.
Do you do a factor rainbow for greatest common factor?
You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.
What is the greatest common factor method of 15?
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!
Find the greatest common factor of 84 and 72?
The Greatest Common Factor (GCF) is: 12
How do you find the greatest common factor of 154 and 418?
The greatest common factor (GCF) is 2.
Find the greatest common factor of 16 and 20?
The greatest common factor (GCF) is 4.
Find the greatest common factor of 18 and 75?
The greatest common factor (GCF) is 3.
How do you find the greatest common factor of 45 and 80?
The greatest common factor (GCF) is 5.
How do you find the greatest common factor of 3 and 5?
The only factor they have in common is 1. It has to be the greatest.
