What is the Greatest Common Factor of 93360 and 93365?

Greatest common factor (GCF) of 93360 and 93365 is 5.

GCF(93360,93365) = 5

We will now calculate the prime factors of 93360 and 93365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93360 and 93365.

How to find the GCF of 93360 and 93365?

We will first find the prime factorization of 93360 and 93365. After we will calculate the factors of 93360 and 93365 and find the biggest common factor number .

Step-1: Prime Factorization of 93360

Prime factors of 93360 are 2, 3, 5, 389. Prime factorization of 93360 in exponential form is:

93360 = 2⁴ × 3¹ × 5¹ × 389¹

Step-2: Prime Factorization of 93365

Prime factors of 93365 are 5, 71, 263. Prime factorization of 93365 in exponential form is:

93365 = 5¹ × 71¹ × 263¹

Step-3: Factors of 93360

List of positive integer factors of 93360 that divides 93360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 389, 778, 1167, 1556, 1945, 2334, 3112, 3890, 4668, 5835, 6224, 7780, 9336, 11670, 15560, 18672, 23340, 31120, 46680

Step-4: Factors of 93365

List of positive integer factors of 93365 that divides 93360 without a remainder.

1, 5, 71, 263, 355, 1315, 18673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93360 and 93365. The biggest common factor number is the GCF number.
So the greatest common factor 93360 and 93365 is 5.

Also check out the Least Common Multiple of 93360 and 93365