Greatest Common Factor of 272 and 994
GCF(272, 994) = 2, Greatest common factor of 272 and 994 is 2. 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 272 and 994. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 272 and 994 by prime factorization method
We will first find the prime factorization of 272 and 994.
Prime Factorization of 272 is 1, 2, 2, 2, 2, 17 and Prime Factorization of 994 is 1, 2, 7, 71.
- Factorize\( (272) = \) \(1\times 2\times 2\times 2\times 2\times 17\)
- Factorize\( (994) = \) \(1\times 2\times 7\times 71\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(272, 994) = 1\times 2 = 2\).
Greatest Common Factor of 272 and 994 by matching factors method
List of positive integers factors of 272 leaving a remainder zero is 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
List of positive integers factors of 994 leaving a remainder zero is 1, 2, 7, 14, 71, 142, 497, 994
As you can see, 2 is the greatest and common number that 272 and 994 divides into.
So the greatest common factor 272 and 994 is 2.
\(GCF(272, 994) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
