Greatest Common Factor of 72 and 215
GCF(72, 215) = 1, Greatest common factor of 72 and 215 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 215. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 72 and 215 by prime factorization method
We will first find the prime factorization of 72 and 215.
Prime Factorization of 72 is 1, 2, 2, 2, 3, 3 and Prime Factorization of 215 is 1, 5, 43.
- Factorize\( (72) = \) \(1\times 2\times 2\times 2\times 3\times 3\)
- Factorize\( (215) = \) \(1\times 5\times 43\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(72, 215) = 1\times 1 = 1\).
Greatest Common Factor of 72 and 215 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 215 leaving a remainder zero is 1, 5, 43, 215
As you can see, 1 is the greatest and common number that 72 and 215 divides into.
So the greatest common factor 72 and 215 is 1.
\(GCF(72, 215) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
