Greatest Common Factor of 212 and 1954
GCF(212, 1954) = 2, Greatest common factor of 212 and 1954 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 212 and 1954. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 212 and 1954 by prime factorization method
We will first find the prime factorization of 212 and 1954.
Prime Factorization of 212 is 1, 2, 2, 53 and Prime Factorization of 1954 is 1, 2, 977.
- Factorize\( (212) = \) \(1\times 2\times 2\times 53\)
- Factorize\( (1954) = \) \(1\times 2\times 977\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(212, 1954) = 1\times 2 = 2\).
Greatest Common Factor of 212 and 1954 by matching factors method
List of positive integers factors of 212 leaving a remainder zero is 1, 2, 4, 53, 106, 212
List of positive integers factors of 1954 leaving a remainder zero is 1, 2, 977, 1954
As you can see, 2 is the greatest and common number that 212 and 1954 divides into.
So the greatest common factor 212 and 1954 is 2.
\(GCF(212, 1954) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
