What is the Greatest Common Factor of 13356 and 13374?

Greatest common factor (GCF) of 13356 and 13374 is 18.

GCF(13356,13374) = 18

We will now calculate the prime factors of 13356 and 13374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13356 and 13374.

How to find the GCF of 13356 and 13374?

We will first find the prime factorization of 13356 and 13374. After we will calculate the factors of 13356 and 13374 and find the biggest common factor number .

Step-1: Prime Factorization of 13356

Prime factors of 13356 are 2, 3, 7, 53. Prime factorization of 13356 in exponential form is:

13356 = 2² × 3² × 7¹ × 53¹

Step-2: Prime Factorization of 13374

Prime factors of 13374 are 2, 3, 743. Prime factorization of 13374 in exponential form is:

13374 = 2¹ × 3² × 743¹

Step-3: Factors of 13356

List of positive integer factors of 13356 that divides 13356 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 53, 63, 84, 106, 126, 159, 212, 252, 318, 371, 477, 636, 742, 954, 1113, 1484, 1908, 2226, 3339, 4452, 6678

Step-4: Factors of 13374

List of positive integer factors of 13374 that divides 13356 without a remainder.

1, 2, 3, 6, 9, 18, 743, 1486, 2229, 4458, 6687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13356 and 13374. The biggest common factor number is the GCF number.
So the greatest common factor 13356 and 13374 is 18.

Also check out the Least Common Multiple of 13356 and 13374