What is the Greatest Common Factor of 14381 and 14399?

Greatest common factor (GCF) of 14381 and 14399 is 1.

GCF(14381,14399) = 1

We will now calculate the prime factors of 14381 and 14399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14381 and 14399.

How to find the GCF of 14381 and 14399?

We will first find the prime factorization of 14381 and 14399. After we will calculate the factors of 14381 and 14399 and find the biggest common factor number .

Step-1: Prime Factorization of 14381

Prime factors of 14381 are 73, 197. Prime factorization of 14381 in exponential form is:

14381 = 73¹ × 197¹

Step-2: Prime Factorization of 14399

Prime factors of 14399 are 7, 11, 17. Prime factorization of 14399 in exponential form is:

14399 = 7¹ × 11² × 17¹

Step-3: Factors of 14381

List of positive integer factors of 14381 that divides 14381 without a remainder.

1, 73, 197

Step-4: Factors of 14399

List of positive integer factors of 14399 that divides 14381 without a remainder.

1, 7, 11, 17, 77, 119, 121, 187, 847, 1309, 2057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14381 and 14399. The biggest common factor number is the GCF number.
So the greatest common factor 14381 and 14399 is 1.

Also check out the Least Common Multiple of 14381 and 14399