Greatest Common Factor of 9 and 304

GCF(9, 304) = 1, Greatest common factor of 9 and 304 is 1. 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 9 and 304. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

Greatest Common Factor of 9 and 304 by prime factorization method

We will first find the prime factorization of 9 and 304.
Prime Factorization of 9 is 1, 3, 3 and Prime Factorization of 304 is 1, 2, 2, 2, 2, 19.

  • Factorize\( (9) = \) \(1\times 3\times 3\)
  • Factorize\( (304) = \) \(1\times 2\times 2\times 2\times 2\times 19\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(9, 304) = 1\times 1 = 1\).

Greatest Common Factor of 9 and 304 by matching factors method

List of positive integers factors of 9 leaving a remainder zero is 1, 3, 9
List of positive integers factors of 304 leaving a remainder zero is 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
As you can see, 1 is the greatest and common number that 9 and 304 divides into.
So the greatest common factor 9 and 304 is 1.
\(GCF(9, 304) = 1\).

If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
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