What is the Greatest Common Factor of 12348 and 12368?

Greatest common factor (GCF) of 12348 and 12368 is 4.

GCF(12348,12368) = 4

We will now calculate the prime factors of 12348 and 12368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12348 and 12368.

How to find the GCF of 12348 and 12368?

We will first find the prime factorization of 12348 and 12368. After we will calculate the factors of 12348 and 12368 and find the biggest common factor number .

Step-1: Prime Factorization of 12348

Prime factors of 12348 are 2, 3, 7. Prime factorization of 12348 in exponential form is:

12348 = 2² × 3² × 7³

Step-2: Prime Factorization of 12368

Prime factors of 12368 are 2, 773. Prime factorization of 12368 in exponential form is:

12368 = 2⁴ × 773¹

Step-3: Factors of 12348

List of positive integer factors of 12348 that divides 12348 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 343, 441, 588, 686, 882, 1029, 1372, 1764, 2058, 3087, 4116, 6174

Step-4: Factors of 12368

List of positive integer factors of 12368 that divides 12348 without a remainder.

1, 2, 4, 8, 16, 773, 1546, 3092, 6184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12348 and 12368. The biggest common factor number is the GCF number.
So the greatest common factor 12348 and 12368 is 4.

Also check out the Least Common Multiple of 12348 and 12368