What is the Greatest Common Factor of 82642 and 82656?

Greatest common factor (GCF) of 82642 and 82656 is 14.

GCF(82642,82656) = 14

We will now calculate the prime factors of 82642 and 82656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82642 and 82656.

How to find the GCF of 82642 and 82656?

We will first find the prime factorization of 82642 and 82656. After we will calculate the factors of 82642 and 82656 and find the biggest common factor number .

Step-1: Prime Factorization of 82642

Prime factors of 82642 are 2, 7, 5903. Prime factorization of 82642 in exponential form is:

82642 = 2¹ × 7¹ × 5903¹

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 82642

List of positive integer factors of 82642 that divides 82642 without a remainder.

1, 2, 7, 14, 5903, 11806, 41321

Step-4: Factors of 82656

List of positive integer factors of 82656 that divides 82642 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 82642 and 82656. The biggest common factor number is the GCF number.
So the greatest common factor 82642 and 82656 is 14.

Also check out the Least Common Multiple of 82642 and 82656