What is the Greatest Common Factor of 64800 and 64806?

Greatest common factor (GCF) of 64800 and 64806 is 6.

GCF(64800,64806) = 6

We will now calculate the prime factors of 64800 and 64806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64800 and 64806.

How to find the GCF of 64800 and 64806?

We will first find the prime factorization of 64800 and 64806. After we will calculate the factors of 64800 and 64806 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 64806

Prime factors of 64806 are 2, 3, 7, 1543. Prime factorization of 64806 in exponential form is:

64806 = 2¹ × 3¹ × 7¹ × 1543¹

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 64806

List of positive integer factors of 64806 that divides 64800 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1543, 3086, 4629, 9258, 10801, 21602, 32403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64800 and 64806. The biggest common factor number is the GCF number.
So the greatest common factor 64800 and 64806 is 6.

Also check out the Least Common Multiple of 64800 and 64806