What is the Greatest Common Factor of 13286 and 13299?

Greatest common factor (GCF) of 13286 and 13299 is 13.

GCF(13286,13299) = 13

We will now calculate the prime factors of 13286 and 13299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13286 and 13299.

How to find the GCF of 13286 and 13299?

We will first find the prime factorization of 13286 and 13299. After we will calculate the factors of 13286 and 13299 and find the biggest common factor number .

Step-1: Prime Factorization of 13286

Prime factors of 13286 are 2, 7, 13, 73. Prime factorization of 13286 in exponential form is:

13286 = 2¹ × 7¹ × 13¹ × 73¹

Step-2: Prime Factorization of 13299

Prime factors of 13299 are 3, 11, 13, 31. Prime factorization of 13299 in exponential form is:

13299 = 3¹ × 11¹ × 13¹ × 31¹

Step-3: Factors of 13286

List of positive integer factors of 13286 that divides 13286 without a remainder.

1, 2, 7, 13, 14, 26, 73, 91, 146, 182, 511, 949, 1022, 1898, 6643

Step-4: Factors of 13299

List of positive integer factors of 13299 that divides 13286 without a remainder.

1, 3, 11, 13, 31, 33, 39, 93, 143, 341, 403, 429, 1023, 1209, 4433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13286 and 13299. The biggest common factor number is the GCF number.
So the greatest common factor 13286 and 13299 is 13.

Also check out the Least Common Multiple of 13286 and 13299