What is the Greatest Common Factor of 82646 and 82656?

Greatest common factor (GCF) of 82646 and 82656 is 2.

GCF(82646,82656) = 2

We will now calculate the prime factors of 82646 and 82656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82646 and 82656.

How to find the GCF of 82646 and 82656?

We will first find the prime factorization of 82646 and 82656. After we will calculate the factors of 82646 and 82656 and find the biggest common factor number .

Step-1: Prime Factorization of 82646

Prime factors of 82646 are 2, 31, 43. Prime factorization of 82646 in exponential form is:

82646 = 2¹ × 31² × 43¹

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 82646

List of positive integer factors of 82646 that divides 82646 without a remainder.

1, 2, 31, 43, 62, 86, 961, 1333, 1922, 2666, 41323

Step-4: Factors of 82656

List of positive integer factors of 82656 that divides 82646 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 82646 and 82656. The biggest common factor number is the GCF number.
So the greatest common factor 82646 and 82656 is 2.

Also check out the Least Common Multiple of 82646 and 82656