Greatest Common Factor of 72 and 5158
GCF(72, 5158) = 2, Greatest common factor of 72 and 5158 is 2. 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 5158. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 72 and 5158 by prime factorization method
We will first find the prime factorization of 72 and 5158.
Prime Factorization of 72 is 1, 2, 2, 2, 3, 3 and Prime Factorization of 5158 is 1, 2, 2579.
- Factorize\( (72) = \) \(1\times 2\times 2\times 2\times 3\times 3\)
- Factorize\( (5158) = \) \(1\times 2\times 2579\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(72, 5158) = 1\times 2 = 2\).
Greatest Common Factor of 72 and 5158 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 5158 leaving a remainder zero is 1, 2, 2579, 5158
As you can see, 2 is the greatest and common number that 72 and 5158 divides into.
So the greatest common factor 72 and 5158 is 2.
\(GCF(72, 5158) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
