What is the Greatest Common Factor of 93360 and 93369?

Greatest common factor (GCF) of 93360 and 93369 is 3.

GCF(93360,93369) = 3

We will now calculate the prime factors of 93360 and 93369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93360 and 93369.

How to find the GCF of 93360 and 93369?

We will first find the prime factorization of 93360 and 93369. After we will calculate the factors of 93360 and 93369 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 93369

Prime factors of 93369 are 3, 31123. Prime factorization of 93369 in exponential form is:

93369 = 3¹ × 31123¹

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 93369

List of positive integer factors of 93369 that divides 93360 without a remainder.

1, 3, 31123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93360 and 93369. The biggest common factor number is the GCF number.
So the greatest common factor 93360 and 93369 is 3.

Also check out the Least Common Multiple of 93360 and 93369