Greatest Common Factor of 60 and 7972
GCF(60, 7972) = 4, Greatest common factor of 60 and 7972 is 4. 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 7972. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 60 and 7972 by prime factorization method
We will first find the prime factorization of 60 and 7972.
Prime Factorization of 60 is 1, 2, 2, 3, 5 and Prime Factorization of 7972 is 1, 2, 2, 1993.
- Factorize\( (60) = \) \(1\times 2\times 2\times 3\times 5\)
- Factorize\( (7972) = \) \(1\times 2\times 2\times 1993\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(60, 7972) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 60 and 7972 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 7972 leaving a remainder zero is 1, 2, 4, 1993, 3986, 7972
As you can see, 4 is the greatest and common number that 60 and 7972 divides into.
So the greatest common factor 60 and 7972 is 4.
\(GCF(60, 7972) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
