What is the Greatest Common Factor of 64785 and 64800?

Greatest common factor (GCF) of 64785 and 64800 is 15.

GCF(64785,64800) = 15

We will now calculate the prime factors of 64785 and 64800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64785 and 64800.

How to find the GCF of 64785 and 64800?

We will first find the prime factorization of 64785 and 64800. After we will calculate the factors of 64785 and 64800 and find the biggest common factor number .

Step-1: Prime Factorization of 64785

Prime factors of 64785 are 3, 5, 7, 617. Prime factorization of 64785 in exponential form is:

64785 = 3¹ × 5¹ × 7¹ × 617¹

Step-2: 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-3: Factors of 64785

List of positive integer factors of 64785 that divides 64785 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 617, 1851, 3085, 4319, 9255, 12957, 21595

Step-4: Factors of 64800

List of positive integer factors of 64800 that divides 64785 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64785 and 64800. The biggest common factor number is the GCF number.
So the greatest common factor 64785 and 64800 is 15.

Also check out the Least Common Multiple of 64785 and 64800