What is the Greatest Common Factor of 34017 and 34035?

Greatest common factor (GCF) of 34017 and 34035 is 3.

GCF(34017,34035) = 3

We will now calculate the prime factors of 34017 and 34035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34017 and 34035.

How to find the GCF of 34017 and 34035?

We will first find the prime factorization of 34017 and 34035. After we will calculate the factors of 34017 and 34035 and find the biggest common factor number .

Step-1: Prime Factorization of 34017

Prime factors of 34017 are 3, 17, 23, 29. Prime factorization of 34017 in exponential form is:

34017 = 3¹ × 17¹ × 23¹ × 29¹

Step-2: Prime Factorization of 34035

Prime factors of 34035 are 3, 5, 2269. Prime factorization of 34035 in exponential form is:

34035 = 3¹ × 5¹ × 2269¹

Step-3: Factors of 34017

List of positive integer factors of 34017 that divides 34017 without a remainder.

1, 3, 17, 23, 29, 51, 69, 87, 391, 493, 667, 1173, 1479, 2001, 11339

Step-4: Factors of 34035

List of positive integer factors of 34035 that divides 34017 without a remainder.

1, 3, 5, 15, 2269, 6807, 11345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34017 and 34035. The biggest common factor number is the GCF number.
So the greatest common factor 34017 and 34035 is 3.

Also check out the Least Common Multiple of 34017 and 34035