What is the Greatest Common Factor of 14340 and 14358?

Greatest common factor (GCF) of 14340 and 14358 is 6.

GCF(14340,14358) = 6

We will now calculate the prime factors of 14340 and 14358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14340 and 14358.

How to find the GCF of 14340 and 14358?

We will first find the prime factorization of 14340 and 14358. After we will calculate the factors of 14340 and 14358 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 14358

Prime factors of 14358 are 2, 3, 2393. Prime factorization of 14358 in exponential form is:

14358 = 2¹ × 3¹ × 2393¹

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 14358

List of positive integer factors of 14358 that divides 14340 without a remainder.

1, 2, 3, 6, 2393, 4786, 7179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14340 and 14358. The biggest common factor number is the GCF number.
So the greatest common factor 14340 and 14358 is 6.

Also check out the Least Common Multiple of 14340 and 14358