What is the Greatest Common Factor of 2331 and 2345?

Greatest common factor (GCF) of 2331 and 2345 is 7.

GCF(2331,2345) = 7

We will now calculate the prime factors of 2331 and 2345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2331 and 2345.

How to find the GCF of 2331 and 2345?

We will first find the prime factorization of 2331 and 2345. After we will calculate the factors of 2331 and 2345 and find the biggest common factor number .

Step-1: Prime Factorization of 2331

Prime factors of 2331 are 3, 7, 37. Prime factorization of 2331 in exponential form is:

2331 = 3² × 7¹ × 37¹

Step-2: Prime Factorization of 2345

Prime factors of 2345 are 5, 7, 67. Prime factorization of 2345 in exponential form is:

2345 = 5¹ × 7¹ × 67¹

Step-3: Factors of 2331

List of positive integer factors of 2331 that divides 2331 without a remainder.

1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777

Step-4: Factors of 2345

List of positive integer factors of 2345 that divides 2331 without a remainder.

1, 5, 7, 35, 67, 335, 469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2331 and 2345. The biggest common factor number is the GCF number.
So the greatest common factor 2331 and 2345 is 7.

Also check out the Least Common Multiple of 2331 and 2345