What is the Greatest Common Factor of 86367 and 86385?

Greatest common factor (GCF) of 86367 and 86385 is 3.

GCF(86367,86385) = 3

We will now calculate the prime factors of 86367 and 86385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86367 and 86385.

How to find the GCF of 86367 and 86385?

We will first find the prime factorization of 86367 and 86385. After we will calculate the factors of 86367 and 86385 and find the biggest common factor number .

Step-1: Prime Factorization of 86367

Prime factors of 86367 are 3, 28789. Prime factorization of 86367 in exponential form is:

86367 = 3¹ × 28789¹

Step-2: Prime Factorization of 86385

Prime factors of 86385 are 3, 5, 13, 443. Prime factorization of 86385 in exponential form is:

86385 = 3¹ × 5¹ × 13¹ × 443¹

Step-3: Factors of 86367

List of positive integer factors of 86367 that divides 86367 without a remainder.

1, 3, 28789

Step-4: Factors of 86385

List of positive integer factors of 86385 that divides 86367 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 443, 1329, 2215, 5759, 6645, 17277, 28795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86367 and 86385. The biggest common factor number is the GCF number.
So the greatest common factor 86367 and 86385 is 3.

Also check out the Least Common Multiple of 86367 and 86385