What is the Greatest Common Factor of 34306 and 34321?

Greatest common factor (GCF) of 34306 and 34321 is 1.

GCF(34306,34321) = 1

We will now calculate the prime factors of 34306 and 34321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34306 and 34321.

How to find the GCF of 34306 and 34321?

We will first find the prime factorization of 34306 and 34321. After we will calculate the factors of 34306 and 34321 and find the biggest common factor number .

Step-1: Prime Factorization of 34306

Prime factors of 34306 are 2, 17, 1009. Prime factorization of 34306 in exponential form is:

34306 = 2¹ × 17¹ × 1009¹

Step-2: Prime Factorization of 34321

Prime factors of 34321 are 7, 4903. Prime factorization of 34321 in exponential form is:

34321 = 7¹ × 4903¹

Step-3: Factors of 34306

List of positive integer factors of 34306 that divides 34306 without a remainder.

1, 2, 17, 34, 1009, 2018, 17153

Step-4: Factors of 34321

List of positive integer factors of 34321 that divides 34306 without a remainder.

1, 7, 4903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34306 and 34321. The biggest common factor number is the GCF number.
So the greatest common factor 34306 and 34321 is 1.

Also check out the Least Common Multiple of 34306 and 34321