What is the Greatest Common Factor of 34017 and 34032?

Greatest common factor (GCF) of 34017 and 34032 is 3.

GCF(34017,34032) = 3

We will now calculate the prime factors of 34017 and 34032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34017 and 34032.

How to find the GCF of 34017 and 34032?

We will first find the prime factorization of 34017 and 34032. After we will calculate the factors of 34017 and 34032 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 34032

Prime factors of 34032 are 2, 3, 709. Prime factorization of 34032 in exponential form is:

34032 = 2⁴ × 3¹ × 709¹

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 34032

List of positive integer factors of 34032 that divides 34017 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 709, 1418, 2127, 2836, 4254, 5672, 8508, 11344, 17016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34017 and 34032. The biggest common factor number is the GCF number.
So the greatest common factor 34017 and 34032 is 3.

Also check out the Least Common Multiple of 34017 and 34032