What is the Greatest Common Factor of 8385 and 8399?

Greatest common factor (GCF) of 8385 and 8399 is 1.

GCF(8385,8399) = 1

We will now calculate the prime factors of 8385 and 8399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8385 and 8399.

How to find the GCF of 8385 and 8399?

We will first find the prime factorization of 8385 and 8399. After we will calculate the factors of 8385 and 8399 and find the biggest common factor number .

Step-1: Prime Factorization of 8385

Prime factors of 8385 are 3, 5, 13, 43. Prime factorization of 8385 in exponential form is:

8385 = 3¹ × 5¹ × 13¹ × 43¹

Step-2: Prime Factorization of 8399

Prime factors of 8399 are 37, 227. Prime factorization of 8399 in exponential form is:

8399 = 37¹ × 227¹

Step-3: Factors of 8385

List of positive integer factors of 8385 that divides 8385 without a remainder.

1, 3, 5, 13, 15, 39, 43, 65, 129, 195, 215, 559, 645, 1677, 2795

Step-4: Factors of 8399

List of positive integer factors of 8399 that divides 8385 without a remainder.

1, 37, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8385 and 8399. The biggest common factor number is the GCF number.
So the greatest common factor 8385 and 8399 is 1.

Also check out the Least Common Multiple of 8385 and 8399