What is the Greatest Common Factor of 12341 and 12348?

Greatest common factor (GCF) of 12341 and 12348 is 7.

GCF(12341,12348) = 7

We will now calculate the prime factors of 12341 and 12348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12341 and 12348.

How to find the GCF of 12341 and 12348?

We will first find the prime factorization of 12341 and 12348. After we will calculate the factors of 12341 and 12348 and find the biggest common factor number .

Step-1: Prime Factorization of 12341

Prime factors of 12341 are 7, 41, 43. Prime factorization of 12341 in exponential form is:

12341 = 7¹ × 41¹ × 43¹

Step-2: 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-3: Factors of 12341

List of positive integer factors of 12341 that divides 12341 without a remainder.

1, 7, 41, 43, 287, 301, 1763

Step-4: Factors of 12348

List of positive integer factors of 12348 that divides 12341 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12341 and 12348. The biggest common factor number is the GCF number.
So the greatest common factor 12341 and 12348 is 7.

Also check out the Least Common Multiple of 12341 and 12348