What is the Greatest Common Factor of 19204 and 19210?

Greatest common factor (GCF) of 19204 and 19210 is 2.

GCF(19204,19210) = 2

We will now calculate the prime factors of 19204 and 19210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19204 and 19210.

How to find the GCF of 19204 and 19210?

We will first find the prime factorization of 19204 and 19210. After we will calculate the factors of 19204 and 19210 and find the biggest common factor number .

Step-1: Prime Factorization of 19204

Prime factors of 19204 are 2, 4801. Prime factorization of 19204 in exponential form is:

19204 = 2² × 4801¹

Step-2: Prime Factorization of 19210

Prime factors of 19210 are 2, 5, 17, 113. Prime factorization of 19210 in exponential form is:

19210 = 2¹ × 5¹ × 17¹ × 113¹

Step-3: Factors of 19204

List of positive integer factors of 19204 that divides 19204 without a remainder.

1, 2, 4, 4801, 9602

Step-4: Factors of 19210

List of positive integer factors of 19210 that divides 19204 without a remainder.

1, 2, 5, 10, 17, 34, 85, 113, 170, 226, 565, 1130, 1921, 3842, 9605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19204 and 19210. The biggest common factor number is the GCF number.
So the greatest common factor 19204 and 19210 is 2.

Also check out the Least Common Multiple of 19204 and 19210