What is the Greatest Common Factor of 67314 and 67327?

Greatest common factor (GCF) of 67314 and 67327 is 13.

GCF(67314,67327) = 13

We will now calculate the prime factors of 67314 and 67327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67314 and 67327.

How to find the GCF of 67314 and 67327?

We will first find the prime factorization of 67314 and 67327. After we will calculate the factors of 67314 and 67327 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 67327

Prime factors of 67327 are 13, 5179. Prime factorization of 67327 in exponential form is:

67327 = 13¹ × 5179¹

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 67327

List of positive integer factors of 67327 that divides 67314 without a remainder.

1, 13, 5179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67314 and 67327. The biggest common factor number is the GCF number.
So the greatest common factor 67314 and 67327 is 13.

Also check out the Least Common Multiple of 67314 and 67327