What is the Greatest Common Factor of 67326 and 67341?

Greatest common factor (GCF) of 67326 and 67341 is 3.

GCF(67326,67341) = 3

We will now calculate the prime factors of 67326 and 67341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67326 and 67341.

How to find the GCF of 67326 and 67341?

We will first find the prime factorization of 67326 and 67341. After we will calculate the factors of 67326 and 67341 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67341

Prime factors of 67341 are 3, 22447. Prime factorization of 67341 in exponential form is:

67341 = 3¹ × 22447¹

Step-3: Factors of 67326

List of positive integer factors of 67326 that divides 67326 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

Step-4: Factors of 67341

List of positive integer factors of 67341 that divides 67326 without a remainder.

1, 3, 22447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67326 and 67341. The biggest common factor number is the GCF number.
So the greatest common factor 67326 and 67341 is 3.

Also check out the Least Common Multiple of 67326 and 67341