What is the Greatest Common Factor of 64584 and 64598?

Greatest common factor (GCF) of 64584 and 64598 is 2.

GCF(64584,64598) = 2

We will now calculate the prime factors of 64584 and 64598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64584 and 64598.

How to find the GCF of 64584 and 64598?

We will first find the prime factorization of 64584 and 64598. After we will calculate the factors of 64584 and 64598 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 64598

Prime factors of 64598 are 2, 32299. Prime factorization of 64598 in exponential form is:

64598 = 2¹ × 32299¹

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 64598

List of positive integer factors of 64598 that divides 64584 without a remainder.

1, 2, 32299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64584 and 64598. The biggest common factor number is the GCF number.
So the greatest common factor 64584 and 64598 is 2.

Also check out the Least Common Multiple of 64584 and 64598