What is the Greatest Common Factor of 14883 and 14889?

Greatest common factor (GCF) of 14883 and 14889 is 3.

GCF(14883,14889) = 3

We will now calculate the prime factors of 14883 and 14889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14883 and 14889.

How to find the GCF of 14883 and 14889?

We will first find the prime factorization of 14883 and 14889. After we will calculate the factors of 14883 and 14889 and find the biggest common factor number .

Step-1: Prime Factorization of 14883

Prime factors of 14883 are 3, 11, 41. Prime factorization of 14883 in exponential form is:

14883 = 3¹ × 11² × 41¹

Step-2: Prime Factorization of 14889

Prime factors of 14889 are 3, 7, 709. Prime factorization of 14889 in exponential form is:

14889 = 3¹ × 7¹ × 709¹

Step-3: Factors of 14883

List of positive integer factors of 14883 that divides 14883 without a remainder.

1, 3, 11, 33, 41, 121, 123, 363, 451, 1353, 4961

Step-4: Factors of 14889

List of positive integer factors of 14889 that divides 14883 without a remainder.

1, 3, 7, 21, 709, 2127, 4963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14883 and 14889. The biggest common factor number is the GCF number.
So the greatest common factor 14883 and 14889 is 3.

Also check out the Least Common Multiple of 14883 and 14889