What is the Greatest Common Factor of 8289 and 8295?

Greatest common factor (GCF) of 8289 and 8295 is 3.

GCF(8289,8295) = 3

We will now calculate the prime factors of 8289 and 8295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8289 and 8295.

How to find the GCF of 8289 and 8295?

We will first find the prime factorization of 8289 and 8295. After we will calculate the factors of 8289 and 8295 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 8295

Prime factors of 8295 are 3, 5, 7, 79. Prime factorization of 8295 in exponential form is:

8295 = 3¹ × 5¹ × 7¹ × 79¹

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 8295

List of positive integer factors of 8295 that divides 8289 without a remainder.

1, 3, 5, 7, 15, 21, 35, 79, 105, 237, 395, 553, 1185, 1659, 2765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8289 and 8295. The biggest common factor number is the GCF number.
So the greatest common factor 8289 and 8295 is 3.

Also check out the Least Common Multiple of 8289 and 8295