Greatest Common Factor of 932 and 2712
GCF(932, 2712) = 4, Greatest common factor of 932 and 2712 is 4. 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 932 and 2712. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 932 and 2712 by prime factorization method
We will first find the prime factorization of 932 and 2712.
Prime Factorization of 932 is 1, 2, 2, 233 and Prime Factorization of 2712 is 1, 2, 2, 2, 3, 113.
- Factorize\( (932) = \) \(1\times 2\times 2\times 233\)
- Factorize\( (2712) = \) \(1\times 2\times 2\times 2\times 3\times 113\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(932, 2712) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 932 and 2712 by matching factors method
List of positive integers factors of 932 leaving a remainder zero is 1, 2, 4, 233, 466, 932
List of positive integers factors of 2712 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712
As you can see, 4 is the greatest and common number that 932 and 2712 divides into.
So the greatest common factor 932 and 2712 is 4.
\(GCF(932, 2712) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
