What is the Greatest Common Factor of 34311 and 34326?

Greatest common factor (GCF) of 34311 and 34326 is 3.

GCF(34311,34326) = 3

We will now calculate the prime factors of 34311 and 34326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34311 and 34326.

How to find the GCF of 34311 and 34326?

We will first find the prime factorization of 34311 and 34326. After we will calculate the factors of 34311 and 34326 and find the biggest common factor number .

Step-1: Prime Factorization of 34311

Prime factors of 34311 are 3, 11437. Prime factorization of 34311 in exponential form is:

34311 = 3¹ × 11437¹

Step-2: Prime Factorization of 34326

Prime factors of 34326 are 2, 3, 1907. Prime factorization of 34326 in exponential form is:

34326 = 2¹ × 3² × 1907¹

Step-3: Factors of 34311

List of positive integer factors of 34311 that divides 34311 without a remainder.

1, 3, 11437

Step-4: Factors of 34326

List of positive integer factors of 34326 that divides 34311 without a remainder.

1, 2, 3, 6, 9, 18, 1907, 3814, 5721, 11442, 17163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34311 and 34326. The biggest common factor number is the GCF number.
So the greatest common factor 34311 and 34326 is 3.

Also check out the Least Common Multiple of 34311 and 34326