What is the Greatest Common Factor of 86367 and 86384?

Greatest common factor (GCF) of 86367 and 86384 is 1.

GCF(86367,86384) = 1

We will now calculate the prime factors of 86367 and 86384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86367 and 86384.

How to find the GCF of 86367 and 86384?

We will first find the prime factorization of 86367 and 86384. After we will calculate the factors of 86367 and 86384 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 86384

Prime factors of 86384 are 2, 5399. Prime factorization of 86384 in exponential form is:

86384 = 2⁴ × 5399¹

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 86384

List of positive integer factors of 86384 that divides 86367 without a remainder.

1, 2, 4, 8, 16, 5399, 10798, 21596, 43192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86367 and 86384. The biggest common factor number is the GCF number.
So the greatest common factor 86367 and 86384 is 1.

Also check out the Least Common Multiple of 86367 and 86384