What is the Greatest Common Factor of 13349 and 13356?

Greatest common factor (GCF) of 13349 and 13356 is 7.

GCF(13349,13356) = 7

We will now calculate the prime factors of 13349 and 13356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13349 and 13356.

How to find the GCF of 13349 and 13356?

We will first find the prime factorization of 13349 and 13356. After we will calculate the factors of 13349 and 13356 and find the biggest common factor number .

Step-1: Prime Factorization of 13349

Prime factors of 13349 are 7, 1907. Prime factorization of 13349 in exponential form is:

13349 = 7¹ × 1907¹

Step-2: 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-3: Factors of 13349

List of positive integer factors of 13349 that divides 13349 without a remainder.

1, 7, 1907

Step-4: Factors of 13356

List of positive integer factors of 13356 that divides 13349 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13349 and 13356. The biggest common factor number is the GCF number.
So the greatest common factor 13349 and 13356 is 7.

Also check out the Least Common Multiple of 13349 and 13356