What is the Greatest Common Factor of 23340 and 23355?

Greatest common factor (GCF) of 23340 and 23355 is 15.

GCF(23340,23355) = 15

We will now calculate the prime factors of 23340 and 23355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23340 and 23355.

How to find the GCF of 23340 and 23355?

We will first find the prime factorization of 23340 and 23355. After we will calculate the factors of 23340 and 23355 and find the biggest common factor number .

Step-1: Prime Factorization of 23340

Prime factors of 23340 are 2, 3, 5, 389. Prime factorization of 23340 in exponential form is:

23340 = 2² × 3¹ × 5¹ × 389¹

Step-2: Prime Factorization of 23355

Prime factors of 23355 are 3, 5, 173. Prime factorization of 23355 in exponential form is:

23355 = 3³ × 5¹ × 173¹

Step-3: Factors of 23340

List of positive integer factors of 23340 that divides 23340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 389, 778, 1167, 1556, 1945, 2334, 3890, 4668, 5835, 7780, 11670

Step-4: Factors of 23355

List of positive integer factors of 23355 that divides 23340 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 173, 519, 865, 1557, 2595, 4671, 7785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23340 and 23355. The biggest common factor number is the GCF number.
So the greatest common factor 23340 and 23355 is 15.

Also check out the Least Common Multiple of 23340 and 23355