What is the Greatest Common Factor of 86400 and 86412?

Greatest common factor (GCF) of 86400 and 86412 is 12.

GCF(86400,86412) = 12

We will now calculate the prime factors of 86400 and 86412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86400 and 86412.

How to find the GCF of 86400 and 86412?

We will first find the prime factorization of 86400 and 86412. After we will calculate the factors of 86400 and 86412 and find the biggest common factor number .

Step-1: Prime Factorization of 86400

Prime factors of 86400 are 2, 3, 5. Prime factorization of 86400 in exponential form is:

86400 = 2⁷ × 3³ × 5²

Step-2: Prime Factorization of 86412

Prime factors of 86412 are 2, 3, 19, 379. Prime factorization of 86412 in exponential form is:

86412 = 2² × 3¹ × 19¹ × 379¹

Step-3: Factors of 86400

List of positive integer factors of 86400 that divides 86400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60, 64, 72, 75, 80, 90, 96, 100, 108, 120, 128, 135, 144, 150, 160, 180, 192, 200, 216, 225, 240, 270, 288, 300, 320, 360, 384, 400, 432, 450, 480, 540, 576, 600, 640, 675, 720, 800, 864, 900, 960, 1080, 1152, 1200, 1350, 1440, 1600, 1728, 1800, 1920, 2160, 2400, 2700, 2880, 3200, 3456, 3600, 4320, 4800, 5400, 5760, 7200, 8640, 9600, 10800, 14400, 17280, 21600, 28800, 43200

Step-4: Factors of 86412

List of positive integer factors of 86412 that divides 86400 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 379, 758, 1137, 1516, 2274, 4548, 7201, 14402, 21603, 28804, 43206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86400 and 86412. The biggest common factor number is the GCF number.
So the greatest common factor 86400 and 86412 is 12.

Also check out the Least Common Multiple of 86400 and 86412