What is the Greatest Common Factor of 14365 and 14381?

Greatest common factor (GCF) of 14365 and 14381 is 1.

GCF(14365,14381) = 1

We will now calculate the prime factors of 14365 and 14381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14365 and 14381.

How to find the GCF of 14365 and 14381?

We will first find the prime factorization of 14365 and 14381. After we will calculate the factors of 14365 and 14381 and find the biggest common factor number .

Step-1: Prime Factorization of 14365

Prime factors of 14365 are 5, 13, 17. Prime factorization of 14365 in exponential form is:

14365 = 5¹ × 13² × 17¹

Step-2: Prime Factorization of 14381

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

14381 = 73¹ × 197¹

Step-3: Factors of 14365

List of positive integer factors of 14365 that divides 14365 without a remainder.

1, 5, 13, 17, 65, 85, 169, 221, 845, 1105, 2873

Step-4: Factors of 14381

List of positive integer factors of 14381 that divides 14365 without a remainder.

1, 73, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14365 and 14381. The biggest common factor number is the GCF number.
So the greatest common factor 14365 and 14381 is 1.

Also check out the Least Common Multiple of 14365 and 14381