Greatest Common Factor of 60 and 9638
GCF(60, 9638) = 2, Greatest common factor of 60 and 9638 is 2. 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 60 and 9638. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 60 and 9638 by prime factorization method
We will first find the prime factorization of 60 and 9638.
Prime Factorization of 60 is 1, 2, 2, 3, 5 and Prime Factorization of 9638 is 1, 2, 61, 79.
- Factorize\( (60) = \) \(1\times 2\times 2\times 3\times 5\)
- Factorize\( (9638) = \) \(1\times 2\times 61\times 79\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(60, 9638) = 1\times 2 = 2\).
Greatest Common Factor of 60 and 9638 by matching factors method
List of positive integers factors of 60 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
List of positive integers factors of 9638 leaving a remainder zero is 1, 2, 61, 79, 122, 158, 4819, 9638
As you can see, 2 is the greatest and common number that 60 and 9638 divides into.
So the greatest common factor 60 and 9638 is 2.
\(GCF(60, 9638) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
