What is the Greatest Common Factor of 34306 and 34315?

Greatest common factor (GCF) of 34306 and 34315 is 1.

GCF(34306,34315) = 1

We will now calculate the prime factors of 34306 and 34315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34306 and 34315.

How to find the GCF of 34306 and 34315?

We will first find the prime factorization of 34306 and 34315. After we will calculate the factors of 34306 and 34315 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 34315

Prime factors of 34315 are 5, 6863. Prime factorization of 34315 in exponential form is:

34315 = 5¹ × 6863¹

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 34315

List of positive integer factors of 34315 that divides 34306 without a remainder.

1, 5, 6863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34306 and 34315. The biggest common factor number is the GCF number.
So the greatest common factor 34306 and 34315 is 1.

Also check out the Least Common Multiple of 34306 and 34315