What is the Greatest Common Factor of 64800 and 64804?

Greatest common factor (GCF) of 64800 and 64804 is 4.

GCF(64800,64804) = 4

We will now calculate the prime factors of 64800 and 64804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64800 and 64804.

How to find the GCF of 64800 and 64804?

We will first find the prime factorization of 64800 and 64804. After we will calculate the factors of 64800 and 64804 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 64804

Prime factors of 64804 are 2, 17, 953. Prime factorization of 64804 in exponential form is:

64804 = 2² × 17¹ × 953¹

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 64804

List of positive integer factors of 64804 that divides 64800 without a remainder.

1, 2, 4, 17, 34, 68, 953, 1906, 3812, 16201, 32402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64800 and 64804. The biggest common factor number is the GCF number.
So the greatest common factor 64800 and 64804 is 4.

Also check out the Least Common Multiple of 64800 and 64804