What is the Greatest Common Factor of 92664 and 92670?

Greatest common factor (GCF) of 92664 and 92670 is 6.

GCF(92664,92670) = 6

We will now calculate the prime factors of 92664 and 92670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92664 and 92670.

How to find the GCF of 92664 and 92670?

We will first find the prime factorization of 92664 and 92670. After we will calculate the factors of 92664 and 92670 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 92670

Prime factors of 92670 are 2, 3, 5, 3089. Prime factorization of 92670 in exponential form is:

92670 = 2¹ × 3¹ × 5¹ × 3089¹

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 92670

List of positive integer factors of 92670 that divides 92664 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3089, 6178, 9267, 15445, 18534, 30890, 46335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92664 and 92670. The biggest common factor number is the GCF number.
So the greatest common factor 92664 and 92670 is 6.

Also check out the Least Common Multiple of 92664 and 92670