Greatest Common Factor of 20 and 5510
GCF(20, 5510) = 10, Greatest common factor of 20 and 5510 is 10. 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 20 and 5510. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 20 and 5510 by prime factorization method
We will first find the prime factorization of 20 and 5510.
Prime Factorization of 20 is 1, 2, 2, 5 and Prime Factorization of 5510 is 1, 2, 5, 19, 29.
- Factorize\( (20) = \) \(1\times 2\times 2\times 5\)
- Factorize\( (5510) = \) \(1\times 2\times 5\times 19\times 29\)
Now we need to find any which are common for each number (1, 2, 5) and multiply these numbers together.
\(GCF(20, 5510) = 1\times 2\times 5 = 10\).
Greatest Common Factor of 20 and 5510 by matching factors method
List of positive integers factors of 20 leaving a remainder zero is 1, 2, 4, 5, 10, 20
List of positive integers factors of 5510 leaving a remainder zero is 1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755, 5510
As you can see, 10 is the greatest and common number that 20 and 5510 divides into.
So the greatest common factor 20 and 5510 is 10.
\(GCF(20, 5510) = 10\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
