What is the Greatest Common Factor of 64800 and 64810?

Greatest common factor (GCF) of 64800 and 64810 is 10.

GCF(64800,64810) = 10

We will now calculate the prime factors of 64800 and 64810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64800 and 64810.

How to find the GCF of 64800 and 64810?

We will first find the prime factorization of 64800 and 64810. After we will calculate the factors of 64800 and 64810 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 64810

Prime factors of 64810 are 2, 5, 6481. Prime factorization of 64810 in exponential form is:

64810 = 2¹ × 5¹ × 6481¹

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 64810

List of positive integer factors of 64810 that divides 64800 without a remainder.

1, 2, 5, 10, 6481, 12962, 32405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64800 and 64810. The biggest common factor number is the GCF number.
So the greatest common factor 64800 and 64810 is 10.

Also check out the Least Common Multiple of 64800 and 64810