What is the Greatest Common Factor of 93366 and 93375?

Greatest common factor (GCF) of 93366 and 93375 is 9.

GCF(93366,93375) = 9

We will now calculate the prime factors of 93366 and 93375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93366 and 93375.

How to find the GCF of 93366 and 93375?

We will first find the prime factorization of 93366 and 93375. After we will calculate the factors of 93366 and 93375 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 93375

Prime factors of 93375 are 3, 5, 83. Prime factorization of 93375 in exponential form is:

93375 = 3² × 5³ × 83¹

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 93375

List of positive integer factors of 93375 that divides 93366 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 83, 125, 225, 249, 375, 415, 747, 1125, 1245, 2075, 3735, 6225, 10375, 18675, 31125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93366 and 93375. The biggest common factor number is the GCF number.
So the greatest common factor 93366 and 93375 is 9.

Also check out the Least Common Multiple of 93366 and 93375