What is the Greatest Common Factor of 34326 and 34341?

Greatest common factor (GCF) of 34326 and 34341 is 3.

GCF(34326,34341) = 3

We will now calculate the prime factors of 34326 and 34341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34326 and 34341.

How to find the GCF of 34326 and 34341?

We will first find the prime factorization of 34326 and 34341. After we will calculate the factors of 34326 and 34341 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34341

Prime factors of 34341 are 3, 11447. Prime factorization of 34341 in exponential form is:

34341 = 3¹ × 11447¹

Step-3: Factors of 34326

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

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

Step-4: Factors of 34341

List of positive integer factors of 34341 that divides 34326 without a remainder.

1, 3, 11447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34326 and 34341. The biggest common factor number is the GCF number.
So the greatest common factor 34326 and 34341 is 3.

Also check out the Least Common Multiple of 34326 and 34341