Greatest Common Factor of 980 and 392
GCF(980, 392) = 196, Greatest common factor of 980 and 392 is 196. 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 980 and 392. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 980 and 392 by prime factorization method
We will first find the prime factorization of 980 and 392.
Prime Factorization of 980 is 1, 2, 2, 5, 7, 7 and Prime Factorization of 392 is 1, 2, 2, 2, 7, 7.
- Factorize\( (980) = \) \(1\times 2\times 2\times 5\times 7\times 7\)
- Factorize\( (392) = \) \(1\times 2\times 2\times 2\times 7\times 7\)
Now we need to find any which are common for each number (1, 2, 2, 7, 7) and multiply these numbers together.
\(GCF(980, 392) = 1\times 2\times 2\times 7\times 7 = 196\).
Greatest Common Factor of 980 and 392 by matching factors method
List of positive integers factors of 980 leaving a remainder zero is 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
List of positive integers factors of 392 leaving a remainder zero is 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
As you can see, 196 is the greatest and common number that 980 and 392 divides into.
So the greatest common factor 980 and 392 is 196.
\(GCF(980, 392) = 196\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
