What is the Greatest Common Factor of 13889 and 13907?

Greatest common factor (GCF) of 13889 and 13907 is 1.

GCF(13889,13907) = 1

We will now calculate the prime factors of 13889 and 13907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13889 and 13907.

How to find the GCF of 13889 and 13907?

We will first find the prime factorization of 13889 and 13907. After we will calculate the factors of 13889 and 13907 and find the biggest common factor number .

Step-1: Prime Factorization of 13889

Prime factors of 13889 are 17, 19, 43. Prime factorization of 13889 in exponential form is:

13889 = 17¹ × 19¹ × 43¹

Step-2: Prime Factorization of 13907

Prime factors of 13907 are 13907. Prime factorization of 13907 in exponential form is:

13907 = 13907¹

Step-3: Factors of 13889

List of positive integer factors of 13889 that divides 13889 without a remainder.

1, 17, 19, 43, 323, 731, 817

Step-4: Factors of 13907

List of positive integer factors of 13907 that divides 13889 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13889 and 13907. The biggest common factor number is the GCF number.
So the greatest common factor 13889 and 13907 is 1.

Also check out the Least Common Multiple of 13889 and 13907