What is the Greatest Common Factor of 82649 and 82656?

Greatest common factor (GCF) of 82649 and 82656 is 7.

GCF(82649,82656) = 7

We will now calculate the prime factors of 82649 and 82656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82649 and 82656.

How to find the GCF of 82649 and 82656?

We will first find the prime factorization of 82649 and 82656. After we will calculate the factors of 82649 and 82656 and find the biggest common factor number .

Step-1: Prime Factorization of 82649

Prime factors of 82649 are 7, 11807. Prime factorization of 82649 in exponential form is:

82649 = 7¹ × 11807¹

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 82649

List of positive integer factors of 82649 that divides 82649 without a remainder.

1, 7, 11807

Step-4: Factors of 82656

List of positive integer factors of 82656 that divides 82649 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 82649 and 82656. The biggest common factor number is the GCF number.
So the greatest common factor 82649 and 82656 is 7.

Also check out the Least Common Multiple of 82649 and 82656