What is the Greatest Common Factor of 64584 and 64602?

Greatest common factor (GCF) of 64584 and 64602 is 18.

GCF(64584,64602) = 18

We will now calculate the prime factors of 64584 and 64602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64584 and 64602.

How to find the GCF of 64584 and 64602?

We will first find the prime factorization of 64584 and 64602. After we will calculate the factors of 64584 and 64602 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 64602

Prime factors of 64602 are 2, 3, 37, 97. Prime factorization of 64602 in exponential form is:

64602 = 2¹ × 3² × 37¹ × 97¹

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 64602

List of positive integer factors of 64602 that divides 64584 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 97, 111, 194, 222, 291, 333, 582, 666, 873, 1746, 3589, 7178, 10767, 21534, 32301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64584 and 64602. The biggest common factor number is the GCF number.
So the greatest common factor 64584 and 64602 is 18.

Also check out the Least Common Multiple of 64584 and 64602