What is the Greatest Common Factor of 12336 and 12356?

Greatest common factor (GCF) of 12336 and 12356 is 4.

GCF(12336,12356) = 4

We will now calculate the prime factors of 12336 and 12356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12336 and 12356.

How to find the GCF of 12336 and 12356?

We will first find the prime factorization of 12336 and 12356. After we will calculate the factors of 12336 and 12356 and find the biggest common factor number .

Step-1: Prime Factorization of 12336

Prime factors of 12336 are 2, 3, 257. Prime factorization of 12336 in exponential form is:

12336 = 2⁴ × 3¹ × 257¹

Step-2: Prime Factorization of 12356

Prime factors of 12356 are 2, 3089. Prime factorization of 12356 in exponential form is:

12356 = 2² × 3089¹

Step-3: Factors of 12336

List of positive integer factors of 12336 that divides 12336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 257, 514, 771, 1028, 1542, 2056, 3084, 4112, 6168

Step-4: Factors of 12356

List of positive integer factors of 12356 that divides 12336 without a remainder.

1, 2, 4, 3089, 6178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12336 and 12356. The biggest common factor number is the GCF number.
So the greatest common factor 12336 and 12356 is 4.

Also check out the Least Common Multiple of 12336 and 12356