What is the Greatest Common Factor of 8204 and 8209?

Greatest common factor (GCF) of 8204 and 8209 is 1.

GCF(8204,8209) = 1

We will now calculate the prime factors of 8204 and 8209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8204 and 8209.

How to find the GCF of 8204 and 8209?

We will first find the prime factorization of 8204 and 8209. After we will calculate the factors of 8204 and 8209 and find the biggest common factor number .

Step-1: Prime Factorization of 8204

Prime factors of 8204 are 2, 7, 293. Prime factorization of 8204 in exponential form is:

8204 = 2² × 7¹ × 293¹

Step-2: Prime Factorization of 8209

Prime factors of 8209 are 8209. Prime factorization of 8209 in exponential form is:

8209 = 8209¹

Step-3: Factors of 8204

List of positive integer factors of 8204 that divides 8204 without a remainder.

1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102

Step-4: Factors of 8209

List of positive integer factors of 8209 that divides 8204 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8204 and 8209. The biggest common factor number is the GCF number.
So the greatest common factor 8204 and 8209 is 1.

Also check out the Least Common Multiple of 8204 and 8209