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-- List all factors of the first number.

-- List all factors of the second number.

-- If there are more than two numbers, list all factors of each one.

-- Find the set of factors that are on every list.

-- Find the greatest factor in the set.

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Q: What are concepts to finding the greatest common factor?
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Related questions

What are the factors and greatest common factor for?

Finding the greatest common factor helps when you are reducing fractions.


What are all the steps to finding the greatest common factor?

Hug


If your finding the Greatest Common Factor of 2 given numbers and the smallest number is a factor of a larger number then what must the Greatest Common Factor be?

the smaller number


Why do you need the common prime factors when finding the greatest common factor?

You do not necessarily need the common prime factors when finding the greatest common factor, but with large numbers or numbers for which you cannot easily determine all the factors, using prime factorization to determine the greatest common factor is the easiest method. The greatest common factor can then be determined by multiplying the common prime factors together. For example, when trying to find the greatest common factor of 2144 and 5672, finding all their possible factors to compare could be difficult. So, it is easier to find their prime factors, determine the prime factors they have in common, and then multiply the common prime factors to get the greatest common factor. For descriptions and examples of finding the greatest common factor, see the "Related Questions" links below.


When you are finding the greatest common factor does the number have to line up to find the answer?

No.


How do you get the greatest common factor on a math problem?

By finding the factors in both numbers and then finding the one that is greatest in common. For example the G.C.F for 45 and 36 is 9.


When factoring a trinomial why can't one of the monomials have a greatest common factor?

What makes a greatest common factor "common" is comparing at least two terms and finding something common between them.


When finding the greatest common factor of a polynomial can it ever be larger than the smallest coefficient?

Yes, the greatest common factor is less than or equal to the smallest coefficient. For example, the greatest common factor of 38 and 8 is 2.


What are the common factors and greatest common factor of 1?

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as ??, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 1 and 3 are only 1; the greatest common factor is 1. The common factors of 1 and 111 are only 1; the greatest common factor is 1. Note: Since the only factor of 1 is 1, when finding the greatest common factor of 1 and another number, the only possible common factor and greatest common factor is 1.


Does 16 or 36 have a greatest common factor?

Neither 16 nor 36 have a greatest common factor. There is neither a greatest common factor nor common factors of a single number, such as 16, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. However, there is a greatest common factor of the pair of 16 and 36. It is 4. See the related question for an explanation on finding the greatest common factor of 16 and 36.


The greatest factor that two or more numbers have common is the greatest common factor or what?

The greatest factor that two or more numbers have in common is known as the greatest common factor, or GCF.


What does cancel any common factors in fractions?

Simplification using the greatest common factor does.Simplification using the greatest common factor does.Simplification using the greatest common factor does.Simplification using the greatest common factor does.