Greatest Common Factor of 60 and 8475
GCF(60, 8475) = 15, Greatest common factor of 60 and 8475 is 15. 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 8475. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 60 and 8475 by prime factorization method
We will first find the prime factorization of 60 and 8475.
Prime Factorization of 60 is 1, 2, 2, 3, 5 and Prime Factorization of 8475 is 1, 3, 5, 5, 113.
- Factorize\( (60) = \) \(1\times 2\times 2\times 3\times 5\)
- Factorize\( (8475) = \) \(1\times 3\times 5\times 5\times 113\)
Now we need to find any which are common for each number (1, 3, 5) and multiply these numbers together.
\(GCF(60, 8475) = 1\times 3\times 5 = 15\).
Greatest Common Factor of 60 and 8475 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 8475 leaving a remainder zero is 1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, 8475
As you can see, 15 is the greatest and common number that 60 and 8475 divides into.
So the greatest common factor 60 and 8475 is 15.
\(GCF(60, 8475) = 15\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
