What is the Greatest Common Factor of 64800 and 64807?

Greatest common factor (GCF) of 64800 and 64807 is 1.

GCF(64800,64807) = 1

We will now calculate the prime factors of 64800 and 64807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64800 and 64807.

How to find the GCF of 64800 and 64807?

We will first find the prime factorization of 64800 and 64807. After we will calculate the factors of 64800 and 64807 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 64807

Prime factors of 64807 are 229, 283. Prime factorization of 64807 in exponential form is:

64807 = 229¹ × 283¹

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 64807

List of positive integer factors of 64807 that divides 64800 without a remainder.

1, 229, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64800 and 64807. The biggest common factor number is the GCF number.
So the greatest common factor 64800 and 64807 is 1.

Also check out the Least Common Multiple of 64800 and 64807