What is the Greatest Common Factor of 13107 and 13119?

Greatest common factor (GCF) of 13107 and 13119 is 3.

GCF(13107,13119) = 3

We will now calculate the prime factors of 13107 and 13119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13107 and 13119.

How to find the GCF of 13107 and 13119?

We will first find the prime factorization of 13107 and 13119. After we will calculate the factors of 13107 and 13119 and find the biggest common factor number .

Step-1: Prime Factorization of 13107

Prime factors of 13107 are 3, 17, 257. Prime factorization of 13107 in exponential form is:

13107 = 3¹ × 17¹ × 257¹

Step-2: Prime Factorization of 13119

Prime factors of 13119 are 3, 4373. Prime factorization of 13119 in exponential form is:

13119 = 3¹ × 4373¹

Step-3: Factors of 13107

List of positive integer factors of 13107 that divides 13107 without a remainder.

1, 3, 17, 51, 257, 771, 4369

Step-4: Factors of 13119

List of positive integer factors of 13119 that divides 13107 without a remainder.

1, 3, 4373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13107 and 13119. The biggest common factor number is the GCF number.
So the greatest common factor 13107 and 13119 is 3.

Also check out the Least Common Multiple of 13107 and 13119