What is the Greatest Common Factor of 86400 and 86405?

Greatest common factor (GCF) of 86400 and 86405 is 5.

GCF(86400,86405) = 5

We will now calculate the prime factors of 86400 and 86405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86400 and 86405.

How to find the GCF of 86400 and 86405?

We will first find the prime factorization of 86400 and 86405. After we will calculate the factors of 86400 and 86405 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 86405

Prime factors of 86405 are 5, 11, 1571. Prime factorization of 86405 in exponential form is:

86405 = 5¹ × 11¹ × 1571¹

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 86405

List of positive integer factors of 86405 that divides 86400 without a remainder.

1, 5, 11, 55, 1571, 7855, 17281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86400 and 86405. The biggest common factor number is the GCF number.
So the greatest common factor 86400 and 86405 is 5.

Also check out the Least Common Multiple of 86400 and 86405