What is the Greatest Common Factor of 64800 and 64809?

Greatest common factor (GCF) of 64800 and 64809 is 9.

GCF(64800,64809) = 9

We will now calculate the prime factors of 64800 and 64809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64800 and 64809.

How to find the GCF of 64800 and 64809?

We will first find the prime factorization of 64800 and 64809. After we will calculate the factors of 64800 and 64809 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 64809

Prime factors of 64809 are 3, 19, 379. Prime factorization of 64809 in exponential form is:

64809 = 3² × 19¹ × 379¹

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 64809

List of positive integer factors of 64809 that divides 64800 without a remainder.

1, 3, 9, 19, 57, 171, 379, 1137, 3411, 7201, 21603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64800 and 64809. The biggest common factor number is the GCF number.
So the greatest common factor 64800 and 64809 is 9.

Also check out the Least Common Multiple of 64800 and 64809