Greatest Common Factor of 172 and 9374
GCF(172, 9374) = 86, Greatest common factor of 172 and 9374 is 86. 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 172 and 9374. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 172 and 9374 by prime factorization method
We will first find the prime factorization of 172 and 9374.
Prime Factorization of 172 is 1, 2, 2, 43 and Prime Factorization of 9374 is 1, 2, 43, 109.
- Factorize\( (172) = \) \(1\times 2\times 2\times 43\)
- Factorize\( (9374) = \) \(1\times 2\times 43\times 109\)
Now we need to find any which are common for each number (1, 2, 43) and multiply these numbers together.
\(GCF(172, 9374) = 1\times 2\times 43 = 86\).
Greatest Common Factor of 172 and 9374 by matching factors method
List of positive integers factors of 172 leaving a remainder zero is 1, 2, 4, 43, 86, 172
List of positive integers factors of 9374 leaving a remainder zero is 1, 2, 43, 86, 109, 218, 4687, 9374
As you can see, 86 is the greatest and common number that 172 and 9374 divides into.
So the greatest common factor 172 and 9374 is 86.
\(GCF(172, 9374) = 86\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
