What is the Greatest Common Factor of 51204 and 51209?

Greatest common factor (GCF) of 51204 and 51209 is 1.

GCF(51204,51209) = 1

We will now calculate the prime factors of 51204 and 51209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51204 and 51209.

How to find the GCF of 51204 and 51209?

We will first find the prime factorization of 51204 and 51209. After we will calculate the factors of 51204 and 51209 and find the biggest common factor number .

Step-1: Prime Factorization of 51204

Prime factors of 51204 are 2, 3, 17, 251. Prime factorization of 51204 in exponential form is:

51204 = 2² × 3¹ × 17¹ × 251¹

Step-2: Prime Factorization of 51209

Prime factors of 51209 are 41, 1249. Prime factorization of 51209 in exponential form is:

51209 = 41¹ × 1249¹

Step-3: Factors of 51204

List of positive integer factors of 51204 that divides 51204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 251, 502, 753, 1004, 1506, 3012, 4267, 8534, 12801, 17068, 25602

Step-4: Factors of 51209

List of positive integer factors of 51209 that divides 51204 without a remainder.

1, 41, 1249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51204 and 51209. The biggest common factor number is the GCF number.
So the greatest common factor 51204 and 51209 is 1.

Also check out the Least Common Multiple of 51204 and 51209