What is the Greatest Common Factor of 34065 and 34082?

Greatest common factor (GCF) of 34065 and 34082 is 1.

GCF(34065,34082) = 1

We will now calculate the prime factors of 34065 and 34082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34065 and 34082.

How to find the GCF of 34065 and 34082?

We will first find the prime factorization of 34065 and 34082. After we will calculate the factors of 34065 and 34082 and find the biggest common factor number .

Step-1: Prime Factorization of 34065

Prime factors of 34065 are 3, 5, 757. Prime factorization of 34065 in exponential form is:

34065 = 3² × 5¹ × 757¹

Step-2: Prime Factorization of 34082

Prime factors of 34082 are 2, 17041. Prime factorization of 34082 in exponential form is:

34082 = 2¹ × 17041¹

Step-3: Factors of 34065

List of positive integer factors of 34065 that divides 34065 without a remainder.

1, 3, 5, 9, 15, 45, 757, 2271, 3785, 6813, 11355

Step-4: Factors of 34082

List of positive integer factors of 34082 that divides 34065 without a remainder.

1, 2, 17041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34065 and 34082. The biggest common factor number is the GCF number.
So the greatest common factor 34065 and 34082 is 1.

Also check out the Least Common Multiple of 34065 and 34082