What is the Greatest Common Factor of 82656 and 82671?

Greatest common factor (GCF) of 82656 and 82671 is 3.

GCF(82656,82671) = 3

We will now calculate the prime factors of 82656 and 82671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82656 and 82671.

How to find the GCF of 82656 and 82671?

We will first find the prime factorization of 82656 and 82671. After we will calculate the factors of 82656 and 82671 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82671

Prime factors of 82671 are 3, 17, 1621. Prime factorization of 82671 in exponential form is:

82671 = 3¹ × 17¹ × 1621¹

Step-3: Factors of 82656

List of positive integer factors of 82656 that divides 82656 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

Step-4: Factors of 82671

List of positive integer factors of 82671 that divides 82656 without a remainder.

1, 3, 17, 51, 1621, 4863, 27557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82656 and 82671. The biggest common factor number is the GCF number.
So the greatest common factor 82656 and 82671 is 3.

Also check out the Least Common Multiple of 82656 and 82671