What is the Greatest Common Factor of 64584 and 64597?

Greatest common factor (GCF) of 64584 and 64597 is 13.

GCF(64584,64597) = 13

We will now calculate the prime factors of 64584 and 64597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64584 and 64597.

How to find the GCF of 64584 and 64597?

We will first find the prime factorization of 64584 and 64597. After we will calculate the factors of 64584 and 64597 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 64597

Prime factors of 64597 are 13, 4969. Prime factorization of 64597 in exponential form is:

64597 = 13¹ × 4969¹

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 64597

List of positive integer factors of 64597 that divides 64584 without a remainder.

1, 13, 4969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64584 and 64597. The biggest common factor number is the GCF number.
So the greatest common factor 64584 and 64597 is 13.

Also check out the Least Common Multiple of 64584 and 64597