Greatest Common Factor of 932 and 1922
GCF(932, 1922) = 2, Greatest common factor of 932 and 1922 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 932 and 1922. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 932 and 1922 by prime factorization method
We will first find the prime factorization of 932 and 1922.
Prime Factorization of 932 is 1, 2, 2, 233 and Prime Factorization of 1922 is 1, 2, 31, 31.
- Factorize\( (932) = \) \(1\times 2\times 2\times 233\)
- Factorize\( (1922) = \) \(1\times 2\times 31\times 31\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(932, 1922) = 1\times 2 = 2\).
Greatest Common Factor of 932 and 1922 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 1922 leaving a remainder zero is 1, 2, 31, 62, 961, 1922
As you can see, 2 is the greatest and common number that 932 and 1922 divides into.
So the greatest common factor 932 and 1922 is 2.
\(GCF(932, 1922) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
