What is the Greatest Common Factor of 34065 and 34084?

Greatest common factor (GCF) of 34065 and 34084 is 1.

GCF(34065,34084) = 1

We will now calculate the prime factors of 34065 and 34084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34065 and 34084.

How to find the GCF of 34065 and 34084?

We will first find the prime factorization of 34065 and 34084. After we will calculate the factors of 34065 and 34084 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 34084

Prime factors of 34084 are 2, 8521. Prime factorization of 34084 in exponential form is:

34084 = 2² × 8521¹

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 34084

List of positive integer factors of 34084 that divides 34065 without a remainder.

1, 2, 4, 8521, 17042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34065 and 34084. The biggest common factor number is the GCF number.
So the greatest common factor 34065 and 34084 is 1.

Also check out the Least Common Multiple of 34065 and 34084