What is the Greatest Common Factor of 8289 and 8309?

Greatest common factor (GCF) of 8289 and 8309 is 1.

GCF(8289,8309) = 1

We will now calculate the prime factors of 8289 and 8309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8289 and 8309.

How to find the GCF of 8289 and 8309?

We will first find the prime factorization of 8289 and 8309. After we will calculate the factors of 8289 and 8309 and find the biggest common factor number .

Step-1: Prime Factorization of 8289

Prime factors of 8289 are 3, 307. Prime factorization of 8289 in exponential form is:

8289 = 3³ × 307¹

Step-2: Prime Factorization of 8309

Prime factors of 8309 are 7, 1187. Prime factorization of 8309 in exponential form is:

8309 = 7¹ × 1187¹

Step-3: Factors of 8289

List of positive integer factors of 8289 that divides 8289 without a remainder.

1, 3, 9, 27, 307, 921, 2763

Step-4: Factors of 8309

List of positive integer factors of 8309 that divides 8289 without a remainder.

1, 7, 1187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8289 and 8309. The biggest common factor number is the GCF number.
So the greatest common factor 8289 and 8309 is 1.

Also check out the Least Common Multiple of 8289 and 8309