What is the Greatest Common Factor of 34187 and 34204?

Greatest common factor (GCF) of 34187 and 34204 is 17.

GCF(34187,34204) = 17

We will now calculate the prime factors of 34187 and 34204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34187 and 34204.

How to find the GCF of 34187 and 34204?

We will first find the prime factorization of 34187 and 34204. After we will calculate the factors of 34187 and 34204 and find the biggest common factor number .

Step-1: Prime Factorization of 34187

Prime factors of 34187 are 17, 2011. Prime factorization of 34187 in exponential form is:

34187 = 17¹ × 2011¹

Step-2: Prime Factorization of 34204

Prime factors of 34204 are 2, 17, 503. Prime factorization of 34204 in exponential form is:

34204 = 2² × 17¹ × 503¹

Step-3: Factors of 34187

List of positive integer factors of 34187 that divides 34187 without a remainder.

1, 17, 2011

Step-4: Factors of 34204

List of positive integer factors of 34204 that divides 34187 without a remainder.

1, 2, 4, 17, 34, 68, 503, 1006, 2012, 8551, 17102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34187 and 34204. The biggest common factor number is the GCF number.
So the greatest common factor 34187 and 34204 is 17.

Also check out the Least Common Multiple of 34187 and 34204