Greatest Common Factor of 120 and 1973
GCF(120, 1973) = 1, Greatest common factor of 120 and 1973 is 1. 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 120 and 1973. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 120 and 1973 by prime factorization method
We will first find the prime factorization of 120 and 1973.
Prime Factorization of 120 is 1, 2, 2, 2, 3, 5 and Prime Factorization of 1973 is 1, 1973.
- Factorize\( (120) = \) \(1\times 2\times 2\times 2\times 3\times 5\)
- Factorize\( (1973) = \) \(1\times 1973\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(120, 1973) = 1\times 1 = 1\).
Greatest Common Factor of 120 and 1973 by matching factors method
List of positive integers factors of 120 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
List of positive integers factors of 1973 leaving a remainder zero is 1, 1973
As you can see, 1 is the greatest and common number that 120 and 1973 divides into.
So the greatest common factor 120 and 1973 is 1.
\(GCF(120, 1973) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
