What is the Greatest Common Factor of 14376 and 14394?

Greatest common factor (GCF) of 14376 and 14394 is 6.

GCF(14376,14394) = 6

We will now calculate the prime factors of 14376 and 14394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14376 and 14394.

How to find the GCF of 14376 and 14394?

We will first find the prime factorization of 14376 and 14394. After we will calculate the factors of 14376 and 14394 and find the biggest common factor number .

Step-1: Prime Factorization of 14376

Prime factors of 14376 are 2, 3, 599. Prime factorization of 14376 in exponential form is:

14376 = 2³ × 3¹ × 599¹

Step-2: Prime Factorization of 14394

Prime factors of 14394 are 2, 3, 2399. Prime factorization of 14394 in exponential form is:

14394 = 2¹ × 3¹ × 2399¹

Step-3: Factors of 14376

List of positive integer factors of 14376 that divides 14376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 599, 1198, 1797, 2396, 3594, 4792, 7188

Step-4: Factors of 14394

List of positive integer factors of 14394 that divides 14376 without a remainder.

1, 2, 3, 6, 2399, 4798, 7197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14376 and 14394. The biggest common factor number is the GCF number.
So the greatest common factor 14376 and 14394 is 6.

Also check out the Least Common Multiple of 14376 and 14394