What is the Greatest Common Factor of 8320 and 8337?

Greatest common factor (GCF) of 8320 and 8337 is 1.

GCF(8320,8337) = 1

We will now calculate the prime factors of 8320 and 8337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8320 and 8337.

How to find the GCF of 8320 and 8337?

We will first find the prime factorization of 8320 and 8337. After we will calculate the factors of 8320 and 8337 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8337

Prime factors of 8337 are 3, 7, 397. Prime factorization of 8337 in exponential form is:

8337 = 3¹ × 7¹ × 397¹

Step-3: Factors of 8320

List of positive integer factors of 8320 that divides 8320 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

Step-4: Factors of 8337

List of positive integer factors of 8337 that divides 8320 without a remainder.

1, 3, 7, 21, 397, 1191, 2779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8320 and 8337. The biggest common factor number is the GCF number.
So the greatest common factor 8320 and 8337 is 1.

Also check out the Least Common Multiple of 8320 and 8337