What is the Greatest Common Factor of 92646 and 92664?

Greatest common factor (GCF) of 92646 and 92664 is 18.

GCF(92646,92664) = 18

We will now calculate the prime factors of 92646 and 92664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92646 and 92664.

How to find the GCF of 92646 and 92664?

We will first find the prime factorization of 92646 and 92664. After we will calculate the factors of 92646 and 92664 and find the biggest common factor number .

Step-1: Prime Factorization of 92646

Prime factors of 92646 are 2, 3, 5147. Prime factorization of 92646 in exponential form is:

92646 = 2¹ × 3² × 5147¹

Step-2: 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-3: Factors of 92646

List of positive integer factors of 92646 that divides 92646 without a remainder.

1, 2, 3, 6, 9, 18, 5147, 10294, 15441, 30882, 46323

Step-4: Factors of 92664

List of positive integer factors of 92664 that divides 92646 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92646 and 92664. The biggest common factor number is the GCF number.
So the greatest common factor 92646 and 92664 is 18.

Also check out the Least Common Multiple of 92646 and 92664