What is the Greatest Common Factor of 12348 and 12362?

Greatest common factor (GCF) of 12348 and 12362 is 14.

GCF(12348,12362) = 14

We will now calculate the prime factors of 12348 and 12362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12348 and 12362.

How to find the GCF of 12348 and 12362?

We will first find the prime factorization of 12348 and 12362. After we will calculate the factors of 12348 and 12362 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 12362

Prime factors of 12362 are 2, 7, 883. Prime factorization of 12362 in exponential form is:

12362 = 2¹ × 7¹ × 883¹

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 12362

List of positive integer factors of 12362 that divides 12348 without a remainder.

1, 2, 7, 14, 883, 1766, 6181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12348 and 12362. The biggest common factor number is the GCF number.
So the greatest common factor 12348 and 12362 is 14.

Also check out the Least Common Multiple of 12348 and 12362