What is the Greatest Common Factor of 2325 and 2334?

Greatest common factor (GCF) of 2325 and 2334 is 3.

GCF(2325,2334) = 3

We will now calculate the prime factors of 2325 and 2334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2325 and 2334.

How to find the GCF of 2325 and 2334?

We will first find the prime factorization of 2325 and 2334. After we will calculate the factors of 2325 and 2334 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 2334

Prime factors of 2334 are 2, 3, 389. Prime factorization of 2334 in exponential form is:

2334 = 2¹ × 3¹ × 389¹

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 2334

List of positive integer factors of 2334 that divides 2325 without a remainder.

1, 2, 3, 6, 389, 778, 1167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2325 and 2334. The biggest common factor number is the GCF number.
So the greatest common factor 2325 and 2334 is 3.

Also check out the Least Common Multiple of 2325 and 2334