What is the Greatest Common Factor of 64575 and 64584?

Greatest common factor (GCF) of 64575 and 64584 is 9.

GCF(64575,64584) = 9

We will now calculate the prime factors of 64575 and 64584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64575 and 64584.

How to find the GCF of 64575 and 64584?

We will first find the prime factorization of 64575 and 64584. After we will calculate the factors of 64575 and 64584 and find the biggest common factor number .

Step-1: Prime Factorization of 64575

Prime factors of 64575 are 3, 5, 7, 41. Prime factorization of 64575 in exponential form is:

64575 = 3² × 5² × 7¹ × 41¹

Step-2: 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-3: Factors of 64575

List of positive integer factors of 64575 that divides 64575 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 41, 45, 63, 75, 105, 123, 175, 205, 225, 287, 315, 369, 525, 615, 861, 1025, 1435, 1575, 1845, 2583, 3075, 4305, 7175, 9225, 12915, 21525

Step-4: Factors of 64584

List of positive integer factors of 64584 that divides 64575 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64575 and 64584. The biggest common factor number is the GCF number.
So the greatest common factor 64575 and 64584 is 9.

Also check out the Least Common Multiple of 64575 and 64584