What is the Greatest Common Factor of 2325 and 2340?

Greatest common factor (GCF) of 2325 and 2340 is 15.

GCF(2325,2340) = 15

We will now calculate the prime factors of 2325 and 2340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2325 and 2340.

How to find the GCF of 2325 and 2340?

We will first find the prime factorization of 2325 and 2340. After we will calculate the factors of 2325 and 2340 and find the biggest common factor number .

Step-1: Prime Factorization of 2325

Prime factors of 2325 are 3, 5, 31. Prime factorization of 2325 in exponential form is:

2325 = 3¹ × 5² × 31¹

Step-2: Prime Factorization of 2340

Prime factors of 2340 are 2, 3, 5, 13. Prime factorization of 2340 in exponential form is:

2340 = 2² × 3² × 5¹ × 13¹

Step-3: Factors of 2325

List of positive integer factors of 2325 that divides 2325 without a remainder.

1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775

Step-4: Factors of 2340

List of positive integer factors of 2340 that divides 2325 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2325 and 2340. The biggest common factor number is the GCF number.
So the greatest common factor 2325 and 2340 is 15.

Also check out the Least Common Multiple of 2325 and 2340