What is the Greatest Common Factor of 92664 and 92677?

Greatest common factor (GCF) of 92664 and 92677 is 13.

GCF(92664,92677) = 13

We will now calculate the prime factors of 92664 and 92677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92664 and 92677.

How to find the GCF of 92664 and 92677?

We will first find the prime factorization of 92664 and 92677. After we will calculate the factors of 92664 and 92677 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 92677

Prime factors of 92677 are 13, 7129. Prime factorization of 92677 in exponential form is:

92677 = 13¹ × 7129¹

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 92677

List of positive integer factors of 92677 that divides 92664 without a remainder.

1, 13, 7129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92664 and 92677. The biggest common factor number is the GCF number.
So the greatest common factor 92664 and 92677 is 13.

Also check out the Least Common Multiple of 92664 and 92677