Greatest Common Factor of 76 and 2242
GCF(76, 2242) = 38, Greatest common factor of 76 and 2242 is 38. 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 2242. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 76 and 2242 by prime factorization method
We will first find the prime factorization of 76 and 2242.
Prime Factorization of 76 is 1, 2, 2, 19 and Prime Factorization of 2242 is 1, 2, 19, 59.
- Factorize\( (76) = \) \(1\times 2\times 2\times 19\)
- Factorize\( (2242) = \) \(1\times 2\times 19\times 59\)
Now we need to find any which are common for each number (1, 2, 19) and multiply these numbers together.
\(GCF(76, 2242) = 1\times 2\times 19 = 38\).
Greatest Common Factor of 76 and 2242 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 2242 leaving a remainder zero is 1, 2, 19, 38, 59, 118, 1121, 2242
As you can see, 38 is the greatest and common number that 76 and 2242 divides into.
So the greatest common factor 76 and 2242 is 38.
\(GCF(76, 2242) = 38\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
