What is the Greatest Common Factor of 92664 and 92672?

Greatest common factor (GCF) of 92664 and 92672 is 8.

GCF(92664,92672) = 8

We will now calculate the prime factors of 92664 and 92672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92664 and 92672.

How to find the GCF of 92664 and 92672?

We will first find the prime factorization of 92664 and 92672. After we will calculate the factors of 92664 and 92672 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 92672

Prime factors of 92672 are 2, 181. Prime factorization of 92672 in exponential form is:

92672 = 2⁹ × 181¹

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 92672

List of positive integer factors of 92672 that divides 92664 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 181, 256, 362, 512, 724, 1448, 2896, 5792, 11584, 23168, 46336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92664 and 92672. The biggest common factor number is the GCF number.
So the greatest common factor 92664 and 92672 is 8.

Also check out the Least Common Multiple of 92664 and 92672