What is the Greatest Common Factor of 8289 and 8299?

Greatest common factor (GCF) of 8289 and 8299 is 1.

GCF(8289,8299) = 1

We will now calculate the prime factors of 8289 and 8299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8289 and 8299.

How to find the GCF of 8289 and 8299?

We will first find the prime factorization of 8289 and 8299. After we will calculate the factors of 8289 and 8299 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 8299

Prime factors of 8299 are 43, 193. Prime factorization of 8299 in exponential form is:

8299 = 43¹ × 193¹

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 8299

List of positive integer factors of 8299 that divides 8289 without a remainder.

1, 43, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8289 and 8299. The biggest common factor number is the GCF number.
So the greatest common factor 8289 and 8299 is 1.

Also check out the Least Common Multiple of 8289 and 8299