What is the Greatest Common Factor of 67314 and 67326?

Greatest common factor (GCF) of 67314 and 67326 is 6.

GCF(67314,67326) = 6

We will now calculate the prime factors of 67314 and 67326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67314 and 67326.

How to find the GCF of 67314 and 67326?

We will first find the prime factorization of 67314 and 67326. After we will calculate the factors of 67314 and 67326 and find the biggest common factor number .

Step-1: Prime Factorization of 67314

Prime factors of 67314 are 2, 3, 13, 863. Prime factorization of 67314 in exponential form is:

67314 = 2¹ × 3¹ × 13¹ × 863¹

Step-2: Prime Factorization of 67326

Prime factors of 67326 are 2, 3, 7, 229. Prime factorization of 67326 in exponential form is:

67326 = 2¹ × 3¹ × 7² × 229¹

Step-3: Factors of 67314

List of positive integer factors of 67314 that divides 67314 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 863, 1726, 2589, 5178, 11219, 22438, 33657

Step-4: Factors of 67326

List of positive integer factors of 67326 that divides 67314 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 229, 294, 458, 687, 1374, 1603, 3206, 4809, 9618, 11221, 22442, 33663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67314 and 67326. The biggest common factor number is the GCF number.
So the greatest common factor 67314 and 67326 is 6.

Also check out the Least Common Multiple of 67314 and 67326