What is the Greatest Common Factor of 13356 and 13370?

Greatest common factor (GCF) of 13356 and 13370 is 14.

GCF(13356,13370) = 14

We will now calculate the prime factors of 13356 and 13370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13356 and 13370.

How to find the GCF of 13356 and 13370?

We will first find the prime factorization of 13356 and 13370. After we will calculate the factors of 13356 and 13370 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 13370

Prime factors of 13370 are 2, 5, 7, 191. Prime factorization of 13370 in exponential form is:

13370 = 2¹ × 5¹ × 7¹ × 191¹

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 13370

List of positive integer factors of 13370 that divides 13356 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 191, 382, 955, 1337, 1910, 2674, 6685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13356 and 13370. The biggest common factor number is the GCF number.
So the greatest common factor 13356 and 13370 is 14.

Also check out the Least Common Multiple of 13356 and 13370