What is the Greatest Common Factor of 8323 and 8343?

Greatest common factor (GCF) of 8323 and 8343 is 1.

GCF(8323,8343) = 1

We will now calculate the prime factors of 8323 and 8343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8323 and 8343.

How to find the GCF of 8323 and 8343?

We will first find the prime factorization of 8323 and 8343. After we will calculate the factors of 8323 and 8343 and find the biggest common factor number .

Step-1: Prime Factorization of 8323

Prime factors of 8323 are 7, 29, 41. Prime factorization of 8323 in exponential form is:

8323 = 7¹ × 29¹ × 41¹

Step-2: Prime Factorization of 8343

Prime factors of 8343 are 3, 103. Prime factorization of 8343 in exponential form is:

8343 = 3⁴ × 103¹

Step-3: Factors of 8323

List of positive integer factors of 8323 that divides 8323 without a remainder.

1, 7, 29, 41, 203, 287, 1189

Step-4: Factors of 8343

List of positive integer factors of 8343 that divides 8323 without a remainder.

1, 3, 9, 27, 81, 103, 309, 927, 2781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8323 and 8343. The biggest common factor number is the GCF number.
So the greatest common factor 8323 and 8343 is 1.

Also check out the Least Common Multiple of 8323 and 8343