What is the Greatest Common Factor of 86364 and 86382?

Greatest common factor (GCF) of 86364 and 86382 is 18.

GCF(86364,86382) = 18

We will now calculate the prime factors of 86364 and 86382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86364 and 86382.

How to find the GCF of 86364 and 86382?

We will first find the prime factorization of 86364 and 86382. After we will calculate the factors of 86364 and 86382 and find the biggest common factor number .

Step-1: Prime Factorization of 86364

Prime factors of 86364 are 2, 3, 2399. Prime factorization of 86364 in exponential form is:

86364 = 2² × 3² × 2399¹

Step-2: Prime Factorization of 86382

Prime factors of 86382 are 2, 3, 4799. Prime factorization of 86382 in exponential form is:

86382 = 2¹ × 3² × 4799¹

Step-3: Factors of 86364

List of positive integer factors of 86364 that divides 86364 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2399, 4798, 7197, 9596, 14394, 21591, 28788, 43182

Step-4: Factors of 86382

List of positive integer factors of 86382 that divides 86364 without a remainder.

1, 2, 3, 6, 9, 18, 4799, 9598, 14397, 28794, 43191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86364 and 86382. The biggest common factor number is the GCF number.
So the greatest common factor 86364 and 86382 is 18.

Also check out the Least Common Multiple of 86364 and 86382