What is the Greatest Common Factor of 2338 and 2358?

Greatest common factor (GCF) of 2338 and 2358 is 2.

GCF(2338,2358) = 2

We will now calculate the prime factors of 2338 and 2358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2338 and 2358.

How to find the GCF of 2338 and 2358?

We will first find the prime factorization of 2338 and 2358. After we will calculate the factors of 2338 and 2358 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2358

Prime factors of 2358 are 2, 3, 131. Prime factorization of 2358 in exponential form is:

2358 = 2¹ × 3² × 131¹

Step-3: Factors of 2338

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

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

Step-4: Factors of 2358

List of positive integer factors of 2358 that divides 2338 without a remainder.

1, 2, 3, 6, 9, 18, 131, 262, 393, 786, 1179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2338 and 2358. The biggest common factor number is the GCF number.
So the greatest common factor 2338 and 2358 is 2.

Also check out the Least Common Multiple of 2338 and 2358