What is the Greatest Common Factor of 82656 and 82670?

Greatest common factor (GCF) of 82656 and 82670 is 14.

GCF(82656,82670) = 14

We will now calculate the prime factors of 82656 and 82670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82656 and 82670.

How to find the GCF of 82656 and 82670?

We will first find the prime factorization of 82656 and 82670. After we will calculate the factors of 82656 and 82670 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 82670

Prime factors of 82670 are 2, 5, 7, 1181. Prime factorization of 82670 in exponential form is:

82670 = 2¹ × 5¹ × 7¹ × 1181¹

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 82670

List of positive integer factors of 82670 that divides 82656 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1181, 2362, 5905, 8267, 11810, 16534, 41335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82656 and 82670. The biggest common factor number is the GCF number.
So the greatest common factor 82656 and 82670 is 14.

Also check out the Least Common Multiple of 82656 and 82670