What is the Greatest Common Factor of 82926 and 82943?

Greatest common factor (GCF) of 82926 and 82943 is 17.

GCF(82926,82943) = 17

We will now calculate the prime factors of 82926 and 82943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82926 and 82943.

How to find the GCF of 82926 and 82943?

We will first find the prime factorization of 82926 and 82943. After we will calculate the factors of 82926 and 82943 and find the biggest common factor number .

Step-1: Prime Factorization of 82926

Prime factors of 82926 are 2, 3, 17, 271. Prime factorization of 82926 in exponential form is:

82926 = 2¹ × 3² × 17¹ × 271¹

Step-2: Prime Factorization of 82943

Prime factors of 82943 are 7, 17, 41. Prime factorization of 82943 in exponential form is:

82943 = 7¹ × 17² × 41¹

Step-3: Factors of 82926

List of positive integer factors of 82926 that divides 82926 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 271, 306, 542, 813, 1626, 2439, 4607, 4878, 9214, 13821, 27642, 41463

Step-4: Factors of 82943

List of positive integer factors of 82943 that divides 82926 without a remainder.

1, 7, 17, 41, 119, 287, 289, 697, 2023, 4879, 11849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82926 and 82943. The biggest common factor number is the GCF number.
So the greatest common factor 82926 and 82943 is 17.

Also check out the Least Common Multiple of 82926 and 82943