What is the Greatest Common Factor of 82656 and 82663?

Greatest common factor (GCF) of 82656 and 82663 is 7.

GCF(82656,82663) = 7

We will now calculate the prime factors of 82656 and 82663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82656 and 82663.

How to find the GCF of 82656 and 82663?

We will first find the prime factorization of 82656 and 82663. After we will calculate the factors of 82656 and 82663 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 82663

Prime factors of 82663 are 7, 241. Prime factorization of 82663 in exponential form is:

82663 = 7³ × 241¹

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 82663

List of positive integer factors of 82663 that divides 82656 without a remainder.

1, 7, 49, 241, 343, 1687, 11809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82656 and 82663. The biggest common factor number is the GCF number.
So the greatest common factor 82656 and 82663 is 7.

Also check out the Least Common Multiple of 82656 and 82663