What is the Greatest Common Factor of 93327 and 93340?

Greatest common factor (GCF) of 93327 and 93340 is 13.

GCF(93327,93340) = 13

We will now calculate the prime factors of 93327 and 93340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93327 and 93340.

How to find the GCF of 93327 and 93340?

We will first find the prime factorization of 93327 and 93340. After we will calculate the factors of 93327 and 93340 and find the biggest common factor number .

Step-1: Prime Factorization of 93327

Prime factors of 93327 are 3, 13, 2393. Prime factorization of 93327 in exponential form is:

93327 = 3¹ × 13¹ × 2393¹

Step-2: Prime Factorization of 93340

Prime factors of 93340 are 2, 5, 13, 359. Prime factorization of 93340 in exponential form is:

93340 = 2² × 5¹ × 13¹ × 359¹

Step-3: Factors of 93327

List of positive integer factors of 93327 that divides 93327 without a remainder.

1, 3, 13, 39, 2393, 7179, 31109

Step-4: Factors of 93340

List of positive integer factors of 93340 that divides 93327 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 359, 718, 1436, 1795, 3590, 4667, 7180, 9334, 18668, 23335, 46670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93327 and 93340. The biggest common factor number is the GCF number.
So the greatest common factor 93327 and 93340 is 13.

Also check out the Least Common Multiple of 93327 and 93340