What is the Greatest Common Factor of 64800 and 64808?

Greatest common factor (GCF) of 64800 and 64808 is 8.

GCF(64800,64808) = 8

We will now calculate the prime factors of 64800 and 64808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64800 and 64808.

How to find the GCF of 64800 and 64808?

We will first find the prime factorization of 64800 and 64808. After we will calculate the factors of 64800 and 64808 and find the biggest common factor number .

Step-1: Prime Factorization of 64800

Prime factors of 64800 are 2, 3, 5. Prime factorization of 64800 in exponential form is:

64800 = 2⁵ × 3⁴ × 5²

Step-2: Prime Factorization of 64808

Prime factors of 64808 are 2, 8101. Prime factorization of 64808 in exponential form is:

64808 = 2³ × 8101¹

Step-3: Factors of 64800

List of positive integer factors of 64800 that divides 64800 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, 72, 75, 80, 81, 90, 96, 100, 108, 120, 135, 144, 150, 160, 162, 180, 200, 216, 225, 240, 270, 288, 300, 324, 360, 400, 405, 432, 450, 480, 540, 600, 648, 675, 720, 800, 810, 864, 900, 1080, 1200, 1296, 1350, 1440, 1620, 1800, 2025, 2160, 2400, 2592, 2700, 3240, 3600, 4050, 4320, 5400, 6480, 7200, 8100, 10800, 12960, 16200, 21600, 32400

Step-4: Factors of 64808

List of positive integer factors of 64808 that divides 64800 without a remainder.

1, 2, 4, 8, 8101, 16202, 32404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64800 and 64808. The biggest common factor number is the GCF number.
So the greatest common factor 64800 and 64808 is 8.

Also check out the Least Common Multiple of 64800 and 64808