What is the Greatest Common Factor of 93359 and 93366?

Greatest common factor (GCF) of 93359 and 93366 is 7.

GCF(93359,93366) = 7

We will now calculate the prime factors of 93359 and 93366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93359 and 93366.

How to find the GCF of 93359 and 93366?

We will first find the prime factorization of 93359 and 93366. After we will calculate the factors of 93359 and 93366 and find the biggest common factor number .

Step-1: Prime Factorization of 93359

Prime factors of 93359 are 7, 13337. Prime factorization of 93359 in exponential form is:

93359 = 7¹ × 13337¹

Step-2: 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-3: Factors of 93359

List of positive integer factors of 93359 that divides 93359 without a remainder.

1, 7, 13337

Step-4: Factors of 93366

List of positive integer factors of 93366 that divides 93359 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93359 and 93366. The biggest common factor number is the GCF number.
So the greatest common factor 93359 and 93366 is 7.

Also check out the Least Common Multiple of 93359 and 93366