Greatest Common Factor of 156 and 6856
GCF(156, 6856) = 4, Greatest common factor of 156 and 6856 is 4. 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 156 and 6856. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 156 and 6856 by prime factorization method
We will first find the prime factorization of 156 and 6856.
Prime Factorization of 156 is 1, 2, 2, 3, 13 and Prime Factorization of 6856 is 1, 2, 2, 2, 857.
- Factorize\( (156) = \) \(1\times 2\times 2\times 3\times 13\)
- Factorize\( (6856) = \) \(1\times 2\times 2\times 2\times 857\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(156, 6856) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 156 and 6856 by matching factors method
List of positive integers factors of 156 leaving a remainder zero is 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
List of positive integers factors of 6856 leaving a remainder zero is 1, 2, 4, 8, 857, 1714, 3428, 6856
As you can see, 4 is the greatest and common number that 156 and 6856 divides into.
So the greatest common factor 156 and 6856 is 4.
\(GCF(156, 6856) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
