What is the Greatest Common Factor of 64584 and 64600?

Greatest common factor (GCF) of 64584 and 64600 is 8.

GCF(64584,64600) = 8

We will now calculate the prime factors of 64584 and 64600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64584 and 64600.

How to find the GCF of 64584 and 64600?

We will first find the prime factorization of 64584 and 64600. After we will calculate the factors of 64584 and 64600 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 64600

Prime factors of 64600 are 2, 5, 17, 19. Prime factorization of 64600 in exponential form is:

64600 = 2³ × 5² × 17¹ × 19¹

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 64600

List of positive integer factors of 64600 that divides 64584 without a remainder.

1, 2, 4, 5, 8, 10, 17, 19, 20, 25, 34, 38, 40, 50, 68, 76, 85, 95, 100, 136, 152, 170, 190, 200, 323, 340, 380, 425, 475, 646, 680, 760, 850, 950, 1292, 1615, 1700, 1900, 2584, 3230, 3400, 3800, 6460, 8075, 12920, 16150, 32300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64584 and 64600. The biggest common factor number is the GCF number.
So the greatest common factor 64584 and 64600 is 8.

Also check out the Least Common Multiple of 64584 and 64600