Greatest Common Factor of 32 and 1239
GCF(32, 1239) = 1, Greatest common factor of 32 and 1239 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 32 and 1239. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 32 and 1239 by prime factorization method
We will first find the prime factorization of 32 and 1239.
Prime Factorization of 32 is 1, 2, 2, 2, 2, 2 and Prime Factorization of 1239 is 1, 3, 7, 59.
- Factorize\( (32) = \) \(1\times 2\times 2\times 2\times 2\times 2\)
- Factorize\( (1239) = \) \(1\times 3\times 7\times 59\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(32, 1239) = 1\times 1 = 1\).
Greatest Common Factor of 32 and 1239 by matching factors method
List of positive integers factors of 32 leaving a remainder zero is 1, 2, 4, 8, 16, 32
List of positive integers factors of 1239 leaving a remainder zero is 1, 3, 7, 21, 59, 177, 413, 1239
As you can see, 1 is the greatest and common number that 32 and 1239 divides into.
So the greatest common factor 32 and 1239 is 1.
\(GCF(32, 1239) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
