What is the Greatest Common Factor of 23325 and 23340?

Greatest common factor (GCF) of 23325 and 23340 is 15.

GCF(23325,23340) = 15

We will now calculate the prime factors of 23325 and 23340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23325 and 23340.

How to find the GCF of 23325 and 23340?

We will first find the prime factorization of 23325 and 23340. After we will calculate the factors of 23325 and 23340 and find the biggest common factor number .

Step-1: Prime Factorization of 23325

Prime factors of 23325 are 3, 5, 311. Prime factorization of 23325 in exponential form is:

23325 = 3¹ × 5² × 311¹

Step-2: 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-3: Factors of 23325

List of positive integer factors of 23325 that divides 23325 without a remainder.

1, 3, 5, 15, 25, 75, 311, 933, 1555, 4665, 7775

Step-4: Factors of 23340

List of positive integer factors of 23340 that divides 23325 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23325 and 23340. The biggest common factor number is the GCF number.
So the greatest common factor 23325 and 23340 is 15.

Also check out the Least Common Multiple of 23325 and 23340