What is the Greatest Common Factor of 82908 and 82926?

Greatest common factor (GCF) of 82908 and 82926 is 18.

GCF(82908,82926) = 18

We will now calculate the prime factors of 82908 and 82926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82908 and 82926.

How to find the GCF of 82908 and 82926?

We will first find the prime factorization of 82908 and 82926. After we will calculate the factors of 82908 and 82926 and find the biggest common factor number .

Step-1: Prime Factorization of 82908

Prime factors of 82908 are 2, 3, 7, 47. Prime factorization of 82908 in exponential form is:

82908 = 2² × 3² × 7² × 47¹

Step-2: 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-3: Factors of 82908

List of positive integer factors of 82908 that divides 82908 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 47, 49, 63, 84, 94, 98, 126, 141, 147, 188, 196, 252, 282, 294, 329, 423, 441, 564, 588, 658, 846, 882, 987, 1316, 1692, 1764, 1974, 2303, 2961, 3948, 4606, 5922, 6909, 9212, 11844, 13818, 20727, 27636, 41454

Step-4: Factors of 82926

List of positive integer factors of 82926 that divides 82908 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82908 and 82926. The biggest common factor number is the GCF number.
So the greatest common factor 82908 and 82926 is 18.

Also check out the Least Common Multiple of 82908 and 82926