What is the Greatest Common Factor of 82584 and 82599?

Greatest common factor (GCF) of 82584 and 82599 is 3.

GCF(82584,82599) = 3

We will now calculate the prime factors of 82584 and 82599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82584 and 82599.

How to find the GCF of 82584 and 82599?

We will first find the prime factorization of 82584 and 82599. After we will calculate the factors of 82584 and 82599 and find the biggest common factor number .

Step-1: Prime Factorization of 82584

Prime factors of 82584 are 2, 3, 31, 37. Prime factorization of 82584 in exponential form is:

82584 = 2³ × 3² × 31¹ × 37¹

Step-2: Prime Factorization of 82599

Prime factors of 82599 are 3, 11, 2503. Prime factorization of 82599 in exponential form is:

82599 = 3¹ × 11¹ × 2503¹

Step-3: Factors of 82584

List of positive integer factors of 82584 that divides 82584 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 37, 62, 72, 74, 93, 111, 124, 148, 186, 222, 248, 279, 296, 333, 372, 444, 558, 666, 744, 888, 1116, 1147, 1332, 2232, 2294, 2664, 3441, 4588, 6882, 9176, 10323, 13764, 20646, 27528, 41292

Step-4: Factors of 82599

List of positive integer factors of 82599 that divides 82584 without a remainder.

1, 3, 11, 33, 2503, 7509, 27533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82584 and 82599. The biggest common factor number is the GCF number.
So the greatest common factor 82584 and 82599 is 3.

Also check out the Least Common Multiple of 82584 and 82599