What is the Greatest Common Factor of 2331 and 2338?

Greatest common factor (GCF) of 2331 and 2338 is 7.

GCF(2331,2338) = 7

We will now calculate the prime factors of 2331 and 2338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2331 and 2338.

How to find the GCF of 2331 and 2338?

We will first find the prime factorization of 2331 and 2338. After we will calculate the factors of 2331 and 2338 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 2338

Prime factors of 2338 are 2, 7, 167. Prime factorization of 2338 in exponential form is:

2338 = 2¹ × 7¹ × 167¹

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 2338

List of positive integer factors of 2338 that divides 2331 without a remainder.

1, 2, 7, 14, 167, 334, 1169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2331 and 2338. The biggest common factor number is the GCF number.
So the greatest common factor 2331 and 2338 is 7.

Also check out the Least Common Multiple of 2331 and 2338