What is the Greatest Common Factor of 34065 and 34069?

Greatest common factor (GCF) of 34065 and 34069 is 1.

GCF(34065,34069) = 1

We will now calculate the prime factors of 34065 and 34069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34065 and 34069.

How to find the GCF of 34065 and 34069?

We will first find the prime factorization of 34065 and 34069. After we will calculate the factors of 34065 and 34069 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 34069

Prime factors of 34069 are 7, 31, 157. Prime factorization of 34069 in exponential form is:

34069 = 7¹ × 31¹ × 157¹

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 34069

List of positive integer factors of 34069 that divides 34065 without a remainder.

1, 7, 31, 157, 217, 1099, 4867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34065 and 34069. The biggest common factor number is the GCF number.
So the greatest common factor 34065 and 34069 is 1.

Also check out the Least Common Multiple of 34065 and 34069