What is the Greatest Common Factor of 2338 and 2352?

Greatest common factor (GCF) of 2338 and 2352 is 14.

GCF(2338,2352) = 14

We will now calculate the prime factors of 2338 and 2352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2338 and 2352.

How to find the GCF of 2338 and 2352?

We will first find the prime factorization of 2338 and 2352. After we will calculate the factors of 2338 and 2352 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 2352

Prime factors of 2352 are 2, 3, 7. Prime factorization of 2352 in exponential form is:

2352 = 2⁴ × 3¹ × 7²

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 2352

List of positive integer factors of 2352 that divides 2338 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2338 and 2352. The biggest common factor number is the GCF number.
So the greatest common factor 2338 and 2352 is 14.

Also check out the Least Common Multiple of 2338 and 2352