Greatest Common Factor of 72 and 4949
GCF(72, 4949) = 1, Greatest common factor of 72 and 4949 is 1. 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 72 and 4949. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 72 and 4949 by prime factorization method
We will first find the prime factorization of 72 and 4949.
Prime Factorization of 72 is 1, 2, 2, 2, 3, 3 and Prime Factorization of 4949 is 1, 7, 7, 101.
- Factorize\( (72) = \) \(1\times 2\times 2\times 2\times 3\times 3\)
- Factorize\( (4949) = \) \(1\times 7\times 7\times 101\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(72, 4949) = 1\times 1 = 1\).
Greatest Common Factor of 72 and 4949 by matching factors method
List of positive integers factors of 72 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
List of positive integers factors of 4949 leaving a remainder zero is 1, 7, 49, 101, 707, 4949
As you can see, 1 is the greatest and common number that 72 and 4949 divides into.
So the greatest common factor 72 and 4949 is 1.
\(GCF(72, 4949) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
