What is the Greatest Common Factor of 93366 and 93372?

Greatest common factor (GCF) of 93366 and 93372 is 6.

GCF(93366,93372) = 6

We will now calculate the prime factors of 93366 and 93372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93366 and 93372.

How to find the GCF of 93366 and 93372?

We will first find the prime factorization of 93366 and 93372. After we will calculate the factors of 93366 and 93372 and find the biggest common factor number .

Step-1: Prime Factorization of 93366

Prime factors of 93366 are 2, 3, 7, 13, 19. Prime factorization of 93366 in exponential form is:

93366 = 2¹ × 3³ × 7¹ × 13¹ × 19¹

Step-2: Prime Factorization of 93372

Prime factors of 93372 are 2, 3, 31, 251. Prime factorization of 93372 in exponential form is:

93372 = 2² × 3¹ × 31¹ × 251¹

Step-3: Factors of 93366

List of positive integer factors of 93366 that divides 93366 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 19, 21, 26, 27, 38, 39, 42, 54, 57, 63, 78, 91, 114, 117, 126, 133, 171, 182, 189, 234, 247, 266, 273, 342, 351, 378, 399, 494, 513, 546, 702, 741, 798, 819, 1026, 1197, 1482, 1638, 1729, 2223, 2394, 2457, 3458, 3591, 4446, 4914, 5187, 6669, 7182, 10374, 13338, 15561, 31122, 46683

Step-4: Factors of 93372

List of positive integer factors of 93372 that divides 93366 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 251, 372, 502, 753, 1004, 1506, 3012, 7781, 15562, 23343, 31124, 46686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93366 and 93372. The biggest common factor number is the GCF number.
So the greatest common factor 93366 and 93372 is 6.

Also check out the Least Common Multiple of 93366 and 93372