What is the Greatest Common Factor of 8289 and 8307?

Greatest common factor (GCF) of 8289 and 8307 is 9.

GCF(8289,8307) = 9

We will now calculate the prime factors of 8289 and 8307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8289 and 8307.

How to find the GCF of 8289 and 8307?

We will first find the prime factorization of 8289 and 8307. After we will calculate the factors of 8289 and 8307 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 8307

Prime factors of 8307 are 3, 13, 71. Prime factorization of 8307 in exponential form is:

8307 = 3² × 13¹ × 71¹

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 8307

List of positive integer factors of 8307 that divides 8289 without a remainder.

1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8289 and 8307. The biggest common factor number is the GCF number.
So the greatest common factor 8289 and 8307 is 9.

Also check out the Least Common Multiple of 8289 and 8307