What is the Greatest Common Factor of 14881 and 14889?

Greatest common factor (GCF) of 14881 and 14889 is 1.

GCF(14881,14889) = 1

We will now calculate the prime factors of 14881 and 14889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14881 and 14889.

How to find the GCF of 14881 and 14889?

We will first find the prime factorization of 14881 and 14889. After we will calculate the factors of 14881 and 14889 and find the biggest common factor number .

Step-1: Prime Factorization of 14881

Prime factors of 14881 are 23, 647. Prime factorization of 14881 in exponential form is:

14881 = 23¹ × 647¹

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 14881

List of positive integer factors of 14881 that divides 14881 without a remainder.

1, 23, 647

Step-4: Factors of 14889

List of positive integer factors of 14889 that divides 14881 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14881 and 14889. The biggest common factor number is the GCF number.
So the greatest common factor 14881 and 14889 is 1.

Also check out the Least Common Multiple of 14881 and 14889