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What is the true meaning of greatest common factor?

Updated: 8/20/2019
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11y ago

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All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. Specific sets of numbers will have specific lists of common factors. The largest number on the list of common factors is the greatest common factor, or GCF. It is the largest number that will divide evenly with no remainder into a set of given numbers.

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Q: What is the true meaning of greatest common factor?
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Related questions

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.


True or false:4 is the greatest common factor of 8 and 12?

True


True or false:5 is the greatest common factor of 15, and 30?

True


Is it true or false that the greatest common factor of any 2 odd numbers is odd?

True


Often the terms of a polynomial will have more than one factor in common When this happens you should factor out the common factor abbreviated as GCf?

Its true


Is the statement the greatest common factor of two odd numbers is one true?

No.


Is the statement the greatest common factor of two multiples it's 10 true?

No.


What is the greatest common factor of 20a and 36a?

The greatest common factor of 16 20 and 36 is 4.


Often the terms of a polynomial will have more than one factor in common When this happens you should factor out the common factor abbreviated as GCf true or false?

greatest


Which term makes this sentence true the greatest least of the common factors of two or more numbers is the greatest least common factor of the numbers?

Actually, both can be true, but the answer your teacher is probably looking for is "greatest."


True or false the greatest common factor of two relatively prime numbers is always 1?

True. By definition for two numbers to be relatively prime they must not share any common factors. So their greatest (and only) common factor would be 1.


What is the greatest common factor of 49 and 36?

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers. The greatest common factor of 36 and 49 is 1