What is the Greatest Common Factor of 64584 and 64596?

Greatest common factor (GCF) of 64584 and 64596 is 12.

GCF(64584,64596) = 12

We will now calculate the prime factors of 64584 and 64596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64584 and 64596.

How to find the GCF of 64584 and 64596?

We will first find the prime factorization of 64584 and 64596. After we will calculate the factors of 64584 and 64596 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 64596

Prime factors of 64596 are 2, 3, 7, 769. Prime factorization of 64596 in exponential form is:

64596 = 2² × 3¹ × 7¹ × 769¹

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 64596

List of positive integer factors of 64596 that divides 64584 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 769, 1538, 2307, 3076, 4614, 5383, 9228, 10766, 16149, 21532, 32298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64584 and 64596. The biggest common factor number is the GCF number.
So the greatest common factor 64584 and 64596 is 12.

Also check out the Least Common Multiple of 64584 and 64596