What is the Greatest Common Factor of 93366 and 93378?

Greatest common factor (GCF) of 93366 and 93378 is 6.

GCF(93366,93378) = 6

We will now calculate the prime factors of 93366 and 93378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93366 and 93378.

How to find the GCF of 93366 and 93378?

We will first find the prime factorization of 93366 and 93378. After we will calculate the factors of 93366 and 93378 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 93378

Prime factors of 93378 are 2, 3, 79, 197. Prime factorization of 93378 in exponential form is:

93378 = 2¹ × 3¹ × 79¹ × 197¹

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 93378

List of positive integer factors of 93378 that divides 93366 without a remainder.

1, 2, 3, 6, 79, 158, 197, 237, 394, 474, 591, 1182, 15563, 31126, 46689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93366 and 93378. The biggest common factor number is the GCF number.
So the greatest common factor 93366 and 93378 is 6.

Also check out the Least Common Multiple of 93366 and 93378