What is the Greatest Common Factor of 2307 and 2325?

Greatest common factor (GCF) of 2307 and 2325 is 3.

GCF(2307,2325) = 3

We will now calculate the prime factors of 2307 and 2325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2307 and 2325.

How to find the GCF of 2307 and 2325?

We will first find the prime factorization of 2307 and 2325. After we will calculate the factors of 2307 and 2325 and find the biggest common factor number .

Step-1: Prime Factorization of 2307

Prime factors of 2307 are 3, 769. Prime factorization of 2307 in exponential form is:

2307 = 3¹ × 769¹

Step-2: 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-3: Factors of 2307

List of positive integer factors of 2307 that divides 2307 without a remainder.

1, 3, 769

Step-4: Factors of 2325

List of positive integer factors of 2325 that divides 2307 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2307 and 2325. The biggest common factor number is the GCF number.
So the greatest common factor 2307 and 2325 is 3.

Also check out the Least Common Multiple of 2307 and 2325