What is the Greatest Common Factor of 93366 and 93379?

Greatest common factor (GCF) of 93366 and 93379 is 13.

GCF(93366,93379) = 13

We will now calculate the prime factors of 93366 and 93379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93366 and 93379.

How to find the GCF of 93366 and 93379?

We will first find the prime factorization of 93366 and 93379. After we will calculate the factors of 93366 and 93379 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 93379

Prime factors of 93379 are 11, 13, 653. Prime factorization of 93379 in exponential form is:

93379 = 11¹ × 13¹ × 653¹

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 93379

List of positive integer factors of 93379 that divides 93366 without a remainder.

1, 11, 13, 143, 653, 7183, 8489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93366 and 93379. The biggest common factor number is the GCF number.
So the greatest common factor 93366 and 93379 is 13.

Also check out the Least Common Multiple of 93366 and 93379