What is the Greatest Common Factor of 86304 and 86322?

Greatest common factor (GCF) of 86304 and 86322 is 6.

GCF(86304,86322) = 6

We will now calculate the prime factors of 86304 and 86322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86304 and 86322.

How to find the GCF of 86304 and 86322?

We will first find the prime factorization of 86304 and 86322. After we will calculate the factors of 86304 and 86322 and find the biggest common factor number .

Step-1: Prime Factorization of 86304

Prime factors of 86304 are 2, 3, 29, 31. Prime factorization of 86304 in exponential form is:

86304 = 2⁵ × 3¹ × 29¹ × 31¹

Step-2: Prime Factorization of 86322

Prime factors of 86322 are 2, 3, 14387. Prime factorization of 86322 in exponential form is:

86322 = 2¹ × 3¹ × 14387¹

Step-3: Factors of 86304

List of positive integer factors of 86304 that divides 86304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 31, 32, 48, 58, 62, 87, 93, 96, 116, 124, 174, 186, 232, 248, 348, 372, 464, 496, 696, 744, 899, 928, 992, 1392, 1488, 1798, 2697, 2784, 2976, 3596, 5394, 7192, 10788, 14384, 21576, 28768, 43152

Step-4: Factors of 86322

List of positive integer factors of 86322 that divides 86304 without a remainder.

1, 2, 3, 6, 14387, 28774, 43161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86304 and 86322. The biggest common factor number is the GCF number.
So the greatest common factor 86304 and 86322 is 6.

Also check out the Least Common Multiple of 86304 and 86322