What is the Greatest Common Factor of 8309 and 8320?

Greatest common factor (GCF) of 8309 and 8320 is 1.

GCF(8309,8320) = 1

We will now calculate the prime factors of 8309 and 8320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8309 and 8320.

How to find the GCF of 8309 and 8320?

We will first find the prime factorization of 8309 and 8320. After we will calculate the factors of 8309 and 8320 and find the biggest common factor number .

Step-1: Prime Factorization of 8309

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

8309 = 7¹ × 1187¹

Step-2: Prime Factorization of 8320

Prime factors of 8320 are 2, 5, 13. Prime factorization of 8320 in exponential form is:

8320 = 2⁷ × 5¹ × 13¹

Step-3: Factors of 8309

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

1, 7, 1187

Step-4: Factors of 8320

List of positive integer factors of 8320 that divides 8309 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8309 and 8320. The biggest common factor number is the GCF number.
So the greatest common factor 8309 and 8320 is 1.

Also check out the Least Common Multiple of 8309 and 8320