What is the Greatest Common Factor of 14340 and 14359?

Greatest common factor (GCF) of 14340 and 14359 is 1.

GCF(14340,14359) = 1

We will now calculate the prime factors of 14340 and 14359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14340 and 14359.

How to find the GCF of 14340 and 14359?

We will first find the prime factorization of 14340 and 14359. After we will calculate the factors of 14340 and 14359 and find the biggest common factor number .

Step-1: Prime Factorization of 14340

Prime factors of 14340 are 2, 3, 5, 239. Prime factorization of 14340 in exponential form is:

14340 = 2² × 3¹ × 5¹ × 239¹

Step-2: Prime Factorization of 14359

Prime factors of 14359 are 83, 173. Prime factorization of 14359 in exponential form is:

14359 = 83¹ × 173¹

Step-3: Factors of 14340

List of positive integer factors of 14340 that divides 14340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 239, 478, 717, 956, 1195, 1434, 2390, 2868, 3585, 4780, 7170

Step-4: Factors of 14359

List of positive integer factors of 14359 that divides 14340 without a remainder.

1, 83, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14340 and 14359. The biggest common factor number is the GCF number.
So the greatest common factor 14340 and 14359 is 1.

Also check out the Least Common Multiple of 14340 and 14359