Greatest Common Factor of 32 and 1114
GCF(32, 1114) = 2, Greatest common factor of 32 and 1114 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 32 and 1114. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 32 and 1114 by prime factorization method
We will first find the prime factorization of 32 and 1114.
Prime Factorization of 32 is 1, 2, 2, 2, 2, 2 and Prime Factorization of 1114 is 1, 2, 557.
- Factorize\( (32) = \) \(1\times 2\times 2\times 2\times 2\times 2\)
- Factorize\( (1114) = \) \(1\times 2\times 557\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(32, 1114) = 1\times 2 = 2\).
Greatest Common Factor of 32 and 1114 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 1114 leaving a remainder zero is 1, 2, 557, 1114
As you can see, 2 is the greatest and common number that 32 and 1114 divides into.
So the greatest common factor 32 and 1114 is 2.
\(GCF(32, 1114) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
