# What Is Gcf?

## 3 Answers

hjjknhf fjyyt answered
Greatest Common Factor

The Greatest Common Factor (GCF) is the largest number that is a common factor of two or more numbers.

How to find the greatest common factor:

* Determine if there is a common factor of the numbers. A common factor is a number that will divide into both numbers evenly. Two is a common factor of 4 and 14.
* Divide all of the numbers by this common factor.
* Repeat this process with the resulting numbers until there are no more common factors.
* Multiply all of the common factors together to find the Greatest Common Factor
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Oddman commented
The "determine if there is a common factor of the numbers" step can be a hard one. That is where Euclid's Algorithm comes in handy. Several methods of finding common factors are found at the link in my answer.
Oddman answered
In math, GCF is an acronym for Greatest Common Factor, which is another name for Greatest Common Divisor. This is the largest value that will divide every member of a set of numbers without any remainder.

Example
GCF[6, 9] = 3
because 6 = 2*3, and 9 = 3*3. The largest factor common to both numbers is 3.

GCF[6, 7, 9] = 1
because 7 has no other factors in common with 6 or 9. Each is divisible by 1 with no remainder.
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Anonymous answered
Greatest common factor
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