Greatest Common Factor of 972 and 7533
GCF(972, 7533) = 243, Greatest common factor of 972 and 7533 is 243. 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 972 and 7533. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 972 and 7533 by prime factorization method
We will first find the prime factorization of 972 and 7533.
Prime Factorization of 972 is 1, 2, 2, 3, 3, 3, 3, 3 and Prime Factorization of 7533 is 1, 3, 3, 3, 3, 3, 31.
- Factorize\( (972) = \) \(1\times 2\times 2\times 3\times 3\times 3\times 3\times 3\)
- Factorize\( (7533) = \) \(1\times 3\times 3\times 3\times 3\times 3\times 31\)
Now we need to find any which are common for each number (1, 3, 3, 3, 3, 3) and multiply these numbers together.
\(GCF(972, 7533) = 1\times 3\times 3\times 3\times 3\times 3 = 243\).
Greatest Common Factor of 972 and 7533 by matching factors method
List of positive integers factors of 972 leaving a remainder zero is 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
List of positive integers factors of 7533 leaving a remainder zero is 1, 3, 9, 27, 31, 81, 93, 243, 279, 837, 2511, 7533
As you can see, 243 is the greatest and common number that 972 and 7533 divides into.
So the greatest common factor 972 and 7533 is 243.
\(GCF(972, 7533) = 243\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
