What is the Greatest Common Factor of 2338 and 2342?

Greatest common factor (GCF) of 2338 and 2342 is 2.

GCF(2338,2342) = 2

We will now calculate the prime factors of 2338 and 2342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2338 and 2342.

How to find the GCF of 2338 and 2342?

We will first find the prime factorization of 2338 and 2342. After we will calculate the factors of 2338 and 2342 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 2342

Prime factors of 2342 are 2, 1171. Prime factorization of 2342 in exponential form is:

2342 = 2¹ × 1171¹

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 2342

List of positive integer factors of 2342 that divides 2338 without a remainder.

1, 2, 1171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2338 and 2342. The biggest common factor number is the GCF number.
So the greatest common factor 2338 and 2342 is 2.

Also check out the Least Common Multiple of 2338 and 2342