What is the Greatest Common Factor of 34047 and 34065?

Greatest common factor (GCF) of 34047 and 34065 is 9.

GCF(34047,34065) = 9

We will now calculate the prime factors of 34047 and 34065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34047 and 34065.

How to find the GCF of 34047 and 34065?

We will first find the prime factorization of 34047 and 34065. After we will calculate the factors of 34047 and 34065 and find the biggest common factor number .

Step-1: Prime Factorization of 34047

Prime factors of 34047 are 3, 13, 97. Prime factorization of 34047 in exponential form is:

34047 = 3³ × 13¹ × 97¹

Step-2: 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-3: Factors of 34047

List of positive integer factors of 34047 that divides 34047 without a remainder.

1, 3, 9, 13, 27, 39, 97, 117, 291, 351, 873, 1261, 2619, 3783, 11349

Step-4: Factors of 34065

List of positive integer factors of 34065 that divides 34047 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34047 and 34065. The biggest common factor number is the GCF number.
So the greatest common factor 34047 and 34065 is 9.

Also check out the Least Common Multiple of 34047 and 34065