What is the Greatest Common Factor of 34204 and 34222?

Greatest common factor (GCF) of 34204 and 34222 is 2.

GCF(34204,34222) = 2

We will now calculate the prime factors of 34204 and 34222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34204 and 34222.

How to find the GCF of 34204 and 34222?

We will first find the prime factorization of 34204 and 34222. After we will calculate the factors of 34204 and 34222 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34222

Prime factors of 34222 are 2, 71, 241. Prime factorization of 34222 in exponential form is:

34222 = 2¹ × 71¹ × 241¹

Step-3: Factors of 34204

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

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

Step-4: Factors of 34222

List of positive integer factors of 34222 that divides 34204 without a remainder.

1, 2, 71, 142, 241, 482, 17111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34204 and 34222. The biggest common factor number is the GCF number.
So the greatest common factor 34204 and 34222 is 2.

Also check out the Least Common Multiple of 34204 and 34222