What is the Greatest Common Factor of 12348 and 12360?

Greatest common factor (GCF) of 12348 and 12360 is 12.

GCF(12348,12360) = 12

We will now calculate the prime factors of 12348 and 12360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12348 and 12360.

How to find the GCF of 12348 and 12360?

We will first find the prime factorization of 12348 and 12360. After we will calculate the factors of 12348 and 12360 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 12360

Prime factors of 12360 are 2, 3, 5, 103. Prime factorization of 12360 in exponential form is:

12360 = 2³ × 3¹ × 5¹ × 103¹

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 12360

List of positive integer factors of 12360 that divides 12348 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 103, 120, 206, 309, 412, 515, 618, 824, 1030, 1236, 1545, 2060, 2472, 3090, 4120, 6180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12348 and 12360. The biggest common factor number is the GCF number.
So the greatest common factor 12348 and 12360 is 12.

Also check out the Least Common Multiple of 12348 and 12360