What is the Greatest Common Factor of 64584 and 64599?

Greatest common factor (GCF) of 64584 and 64599 is 3.

GCF(64584,64599) = 3

We will now calculate the prime factors of 64584 and 64599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64584 and 64599.

How to find the GCF of 64584 and 64599?

We will first find the prime factorization of 64584 and 64599. After we will calculate the factors of 64584 and 64599 and find the biggest common factor number .

Step-1: Prime Factorization of 64584

Prime factors of 64584 are 2, 3, 13, 23. Prime factorization of 64584 in exponential form is:

64584 = 2³ × 3³ × 13¹ × 23¹

Step-2: Prime Factorization of 64599

Prime factors of 64599 are 3, 61, 353. Prime factorization of 64599 in exponential form is:

64599 = 3¹ × 61¹ × 353¹

Step-3: Factors of 64584

List of positive integer factors of 64584 that divides 64584 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 23, 24, 26, 27, 36, 39, 46, 52, 54, 69, 72, 78, 92, 104, 108, 117, 138, 156, 184, 207, 216, 234, 276, 299, 312, 351, 414, 468, 552, 598, 621, 702, 828, 897, 936, 1196, 1242, 1404, 1656, 1794, 2392, 2484, 2691, 2808, 3588, 4968, 5382, 7176, 8073, 10764, 16146, 21528, 32292

Step-4: Factors of 64599

List of positive integer factors of 64599 that divides 64584 without a remainder.

1, 3, 61, 183, 353, 1059, 21533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64584 and 64599. The biggest common factor number is the GCF number.
So the greatest common factor 64584 and 64599 is 3.

Also check out the Least Common Multiple of 64584 and 64599