What is the Greatest Common Factor of 92664 and 92682?

Greatest common factor (GCF) of 92664 and 92682 is 18.

GCF(92664,92682) = 18

We will now calculate the prime factors of 92664 and 92682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92664 and 92682.

How to find the GCF of 92664 and 92682?

We will first find the prime factorization of 92664 and 92682. After we will calculate the factors of 92664 and 92682 and find the biggest common factor number .

Step-1: Prime Factorization of 92664

Prime factors of 92664 are 2, 3, 11, 13. Prime factorization of 92664 in exponential form is:

92664 = 2³ × 3⁴ × 11¹ × 13¹

Step-2: Prime Factorization of 92682

Prime factors of 92682 are 2, 3, 19, 271. Prime factorization of 92682 in exponential form is:

92682 = 2¹ × 3² × 19¹ × 271¹

Step-3: Factors of 92664

List of positive integer factors of 92664 that divides 92664 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 18, 22, 24, 26, 27, 33, 36, 39, 44, 52, 54, 66, 72, 78, 81, 88, 99, 104, 108, 117, 132, 143, 156, 162, 198, 216, 234, 264, 286, 297, 312, 324, 351, 396, 429, 468, 572, 594, 648, 702, 792, 858, 891, 936, 1053, 1144, 1188, 1287, 1404, 1716, 1782, 2106, 2376, 2574, 2808, 3432, 3564, 3861, 4212, 5148, 7128, 7722, 8424, 10296, 11583, 15444, 23166, 30888, 46332

Step-4: Factors of 92682

List of positive integer factors of 92682 that divides 92664 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 271, 342, 542, 813, 1626, 2439, 4878, 5149, 10298, 15447, 30894, 46341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92664 and 92682. The biggest common factor number is the GCF number.
So the greatest common factor 92664 and 92682 is 18.

Also check out the Least Common Multiple of 92664 and 92682