What is the Greatest Common Factor of 82638 and 82656?

Greatest common factor (GCF) of 82638 and 82656 is 18.

GCF(82638,82656) = 18

We will now calculate the prime factors of 82638 and 82656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82638 and 82656.

How to find the GCF of 82638 and 82656?

We will first find the prime factorization of 82638 and 82656. After we will calculate the factors of 82638 and 82656 and find the biggest common factor number .

Step-1: Prime Factorization of 82638

Prime factors of 82638 are 2, 3, 4591. Prime factorization of 82638 in exponential form is:

82638 = 2¹ × 3² × 4591¹

Step-2: Prime Factorization of 82656

Prime factors of 82656 are 2, 3, 7, 41. Prime factorization of 82656 in exponential form is:

82656 = 2⁵ × 3² × 7¹ × 41¹

Step-3: Factors of 82638

List of positive integer factors of 82638 that divides 82638 without a remainder.

1, 2, 3, 6, 9, 18, 4591, 9182, 13773, 27546, 41319

Step-4: Factors of 82656

List of positive integer factors of 82656 that divides 82638 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 41, 42, 48, 56, 63, 72, 82, 84, 96, 112, 123, 126, 144, 164, 168, 224, 246, 252, 287, 288, 328, 336, 369, 492, 504, 574, 656, 672, 738, 861, 984, 1008, 1148, 1312, 1476, 1722, 1968, 2016, 2296, 2583, 2952, 3444, 3936, 4592, 5166, 5904, 6888, 9184, 10332, 11808, 13776, 20664, 27552, 41328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82638 and 82656. The biggest common factor number is the GCF number.
So the greatest common factor 82638 and 82656 is 18.

Also check out the Least Common Multiple of 82638 and 82656