What is the Greatest Common Factor of 34204 and 34219?

Greatest common factor (GCF) of 34204 and 34219 is 1.

GCF(34204,34219) = 1

We will now calculate the prime factors of 34204 and 34219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34204 and 34219.

How to find the GCF of 34204 and 34219?

We will first find the prime factorization of 34204 and 34219. After we will calculate the factors of 34204 and 34219 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 34219

Prime factors of 34219 are 19, 1801. Prime factorization of 34219 in exponential form is:

34219 = 19¹ × 1801¹

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 34219

List of positive integer factors of 34219 that divides 34204 without a remainder.

1, 19, 1801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34204 and 34219. The biggest common factor number is the GCF number.
So the greatest common factor 34204 and 34219 is 1.

Also check out the Least Common Multiple of 34204 and 34219