Greatest Common Factor of 60 and 8961
GCF(60, 8961) = 3, Greatest common factor of 60 and 8961 is 3. 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 8961. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 60 and 8961 by prime factorization method
We will first find the prime factorization of 60 and 8961.
Prime Factorization of 60 is 1, 2, 2, 3, 5 and Prime Factorization of 8961 is 1, 3, 29, 103.
- Factorize\( (60) = \) \(1\times 2\times 2\times 3\times 5\)
- Factorize\( (8961) = \) \(1\times 3\times 29\times 103\)
Now we need to find any which are common for each number (1, 3) and multiply these numbers together.
\(GCF(60, 8961) = 1\times 3 = 3\).
Greatest Common Factor of 60 and 8961 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 8961 leaving a remainder zero is 1, 3, 29, 87, 103, 309, 2987, 8961
As you can see, 3 is the greatest and common number that 60 and 8961 divides into.
So the greatest common factor 60 and 8961 is 3.
\(GCF(60, 8961) = 3\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
