What is the Greatest Common Factor of 64800 and 64819?

Greatest common factor (GCF) of 64800 and 64819 is 1.

GCF(64800,64819) = 1

We will now calculate the prime factors of 64800 and 64819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64800 and 64819.

How to find the GCF of 64800 and 64819?

We will first find the prime factorization of 64800 and 64819. After we will calculate the factors of 64800 and 64819 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 64819

Prime factors of 64819 are 53, 1223. Prime factorization of 64819 in exponential form is:

64819 = 53¹ × 1223¹

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 64819

List of positive integer factors of 64819 that divides 64800 without a remainder.

1, 53, 1223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64800 and 64819. The biggest common factor number is the GCF number.
So the greatest common factor 64800 and 64819 is 1.

Also check out the Least Common Multiple of 64800 and 64819