What is the Greatest Common Factor of 92652 and 92664?

Greatest common factor (GCF) of 92652 and 92664 is 12.

GCF(92652,92664) = 12

We will now calculate the prime factors of 92652 and 92664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92652 and 92664.

How to find the GCF of 92652 and 92664?

We will first find the prime factorization of 92652 and 92664. After we will calculate the factors of 92652 and 92664 and find the biggest common factor number .

Step-1: Prime Factorization of 92652

Prime factors of 92652 are 2, 3, 7, 1103. Prime factorization of 92652 in exponential form is:

92652 = 2² × 3¹ × 7¹ × 1103¹

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 92652

List of positive integer factors of 92652 that divides 92652 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1103, 2206, 3309, 4412, 6618, 7721, 13236, 15442, 23163, 30884, 46326

Step-4: Factors of 92664

List of positive integer factors of 92664 that divides 92652 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 92652 and 92664. The biggest common factor number is the GCF number.
So the greatest common factor 92652 and 92664 is 12.

Also check out the Least Common Multiple of 92652 and 92664