What is the Greatest Common Factor of 34002 and 34017?

Greatest common factor (GCF) of 34002 and 34017 is 3.

GCF(34002,34017) = 3

We will now calculate the prime factors of 34002 and 34017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34002 and 34017.

How to find the GCF of 34002 and 34017?

We will first find the prime factorization of 34002 and 34017. After we will calculate the factors of 34002 and 34017 and find the biggest common factor number .

Step-1: Prime Factorization of 34002

Prime factors of 34002 are 2, 3, 1889. Prime factorization of 34002 in exponential form is:

34002 = 2¹ × 3² × 1889¹

Step-2: 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-3: Factors of 34002

List of positive integer factors of 34002 that divides 34002 without a remainder.

1, 2, 3, 6, 9, 18, 1889, 3778, 5667, 11334, 17001

Step-4: Factors of 34017

List of positive integer factors of 34017 that divides 34002 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34002 and 34017. The biggest common factor number is the GCF number.
So the greatest common factor 34002 and 34017 is 3.

Also check out the Least Common Multiple of 34002 and 34017