What is the Greatest Common Factor of 64584 and 64593?

Greatest common factor (GCF) of 64584 and 64593 is 9.

GCF(64584,64593) = 9

We will now calculate the prime factors of 64584 and 64593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64584 and 64593.

How to find the GCF of 64584 and 64593?

We will first find the prime factorization of 64584 and 64593. After we will calculate the factors of 64584 and 64593 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 64593

Prime factors of 64593 are 3, 7177. Prime factorization of 64593 in exponential form is:

64593 = 3² × 7177¹

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 64593

List of positive integer factors of 64593 that divides 64584 without a remainder.

1, 3, 9, 7177, 21531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64584 and 64593. The biggest common factor number is the GCF number.
So the greatest common factor 64584 and 64593 is 9.

Also check out the Least Common Multiple of 64584 and 64593