What is the Greatest Common Factor of 86400 and 86409?

Greatest common factor (GCF) of 86400 and 86409 is 9.

GCF(86400,86409) = 9

We will now calculate the prime factors of 86400 and 86409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86400 and 86409.

How to find the GCF of 86400 and 86409?

We will first find the prime factorization of 86400 and 86409. After we will calculate the factors of 86400 and 86409 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 86409

Prime factors of 86409 are 3, 9601. Prime factorization of 86409 in exponential form is:

86409 = 3² × 9601¹

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 86409

List of positive integer factors of 86409 that divides 86400 without a remainder.

1, 3, 9, 9601, 28803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86400 and 86409. The biggest common factor number is the GCF number.
So the greatest common factor 86400 and 86409 is 9.

Also check out the Least Common Multiple of 86400 and 86409