What is the Greatest Common Factor of 86352 and 86364?

Greatest common factor (GCF) of 86352 and 86364 is 12.

GCF(86352,86364) = 12

We will now calculate the prime factors of 86352 and 86364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86352 and 86364.

How to find the GCF of 86352 and 86364?

We will first find the prime factorization of 86352 and 86364. After we will calculate the factors of 86352 and 86364 and find the biggest common factor number .

Step-1: Prime Factorization of 86352

Prime factors of 86352 are 2, 3, 7, 257. Prime factorization of 86352 in exponential form is:

86352 = 2⁴ × 3¹ × 7¹ × 257¹

Step-2: 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-3: Factors of 86352

List of positive integer factors of 86352 that divides 86352 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 257, 336, 514, 771, 1028, 1542, 1799, 2056, 3084, 3598, 4112, 5397, 6168, 7196, 10794, 12336, 14392, 21588, 28784, 43176

Step-4: Factors of 86364

List of positive integer factors of 86364 that divides 86352 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86352 and 86364. The biggest common factor number is the GCF number.
So the greatest common factor 86352 and 86364 is 12.

Also check out the Least Common Multiple of 86352 and 86364