## Greatest Common Factor of 6 and 18

GCF(6, 18) = 6, Greatest common factor of 6 and 18 is 6. Greatest Common Factor or Greatest Common Divisor of two numbers is the largest integer by which both the numbers can be divided. There are two different methods to calculate Greatest Common Factor of 6 and 18. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

### Greatest Common Factor of 6 and 18 by prime factorization method

We will first find the prime factorization of 6 and 18.
Prime Factorization of 6 is 1, 2, 3 and Prime Factorization of 18 is 1, 2, 3, 3.

• Factorize$$(6) =$$ $$1\times 2\times 3$$
• Factorize$$(18) =$$ $$1\times 2\times 3\times 3$$
Now we need to find any which are common for each number (1, 2, 3) and multiply these numbers together.
$$GCF(6, 18) = 1\times 2\times 3 = 6$$.

### Greatest Common Factor of 6 and 18 by matching factors method

List of positive integers factors of 6 leaving a remainder zero is 1, 2, 3, 6
List of positive integers factors of 18 leaving a remainder zero is 1, 2, 3, 6, 9, 18
As you can see, 6 is the greatest and common number that 6 and 18 divides into.
So the greatest common factor 6 and 18 is 6.
$$GCF(6, 18) = 6$$.

Greatest common factor of:
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