What is the Greatest Common Factor of 12348 and 12357?

Greatest common factor (GCF) of 12348 and 12357 is 9.

GCF(12348,12357) = 9

We will now calculate the prime factors of 12348 and 12357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12348 and 12357.

How to find the GCF of 12348 and 12357?

We will first find the prime factorization of 12348 and 12357. After we will calculate the factors of 12348 and 12357 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 12357

Prime factors of 12357 are 3, 1373. Prime factorization of 12357 in exponential form is:

12357 = 3² × 1373¹

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 12357

List of positive integer factors of 12357 that divides 12348 without a remainder.

1, 3, 9, 1373, 4119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12348 and 12357. The biggest common factor number is the GCF number.
So the greatest common factor 12348 and 12357 is 9.

Also check out the Least Common Multiple of 12348 and 12357