Greatest Common Factor of 44 and 1964
GCF(44, 1964) = 4, Greatest common factor of 44 and 1964 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 44 and 1964. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 44 and 1964 by prime factorization method
We will first find the prime factorization of 44 and 1964.
Prime Factorization of 44 is 1, 2, 2, 11 and Prime Factorization of 1964 is 1, 2, 2, 491.
- Factorize\( (44) = \) \(1\times 2\times 2\times 11\)
- Factorize\( (1964) = \) \(1\times 2\times 2\times 491\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(44, 1964) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 44 and 1964 by matching factors method
List of positive integers factors of 44 leaving a remainder zero is 1, 2, 4, 11, 22, 44
List of positive integers factors of 1964 leaving a remainder zero is 1, 2, 4, 491, 982, 1964
As you can see, 4 is the greatest and common number that 44 and 1964 divides into.
So the greatest common factor 44 and 1964 is 4.
\(GCF(44, 1964) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
