What is the Greatest Common Factor of 67314 and 67323?

Greatest common factor (GCF) of 67314 and 67323 is 3.

GCF(67314,67323) = 3

We will now calculate the prime factors of 67314 and 67323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67314 and 67323.

How to find the GCF of 67314 and 67323?

We will first find the prime factorization of 67314 and 67323. After we will calculate the factors of 67314 and 67323 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 67323

Prime factors of 67323 are 3, 22441. Prime factorization of 67323 in exponential form is:

67323 = 3¹ × 22441¹

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 67323

List of positive integer factors of 67323 that divides 67314 without a remainder.

1, 3, 22441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67314 and 67323. The biggest common factor number is the GCF number.
So the greatest common factor 67314 and 67323 is 3.

Also check out the Least Common Multiple of 67314 and 67323