Greatest Common Factor of 76 and 1349
GCF(76, 1349) = 19, Greatest common factor of 76 and 1349 is 19. 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 76 and 1349. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 76 and 1349 by prime factorization method
We will first find the prime factorization of 76 and 1349.
Prime Factorization of 76 is 1, 2, 2, 19 and Prime Factorization of 1349 is 1, 19, 71.
- Factorize\( (76) = \) \(1\times 2\times 2\times 19\)
- Factorize\( (1349) = \) \(1\times 19\times 71\)
Now we need to find any which are common for each number (1, 19) and multiply these numbers together.
\(GCF(76, 1349) = 1\times 19 = 19\).
Greatest Common Factor of 76 and 1349 by matching factors method
List of positive integers factors of 76 leaving a remainder zero is 1, 2, 4, 19, 38, 76
List of positive integers factors of 1349 leaving a remainder zero is 1, 19, 71, 1349
As you can see, 19 is the greatest and common number that 76 and 1349 divides into.
So the greatest common factor 76 and 1349 is 19.
\(GCF(76, 1349) = 19\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
