What is the Greatest Common Factor of 13095 and 13107?

Greatest common factor (GCF) of 13095 and 13107 is 3.

GCF(13095,13107) = 3

We will now calculate the prime factors of 13095 and 13107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13095 and 13107.

How to find the GCF of 13095 and 13107?

We will first find the prime factorization of 13095 and 13107. After we will calculate the factors of 13095 and 13107 and find the biggest common factor number .

Step-1: Prime Factorization of 13095

Prime factors of 13095 are 3, 5, 97. Prime factorization of 13095 in exponential form is:

13095 = 3³ × 5¹ × 97¹

Step-2: 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-3: Factors of 13095

List of positive integer factors of 13095 that divides 13095 without a remainder.

1, 3, 5, 9, 15, 27, 45, 97, 135, 291, 485, 873, 1455, 2619, 4365

Step-4: Factors of 13107

List of positive integer factors of 13107 that divides 13095 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13095 and 13107. The biggest common factor number is the GCF number.
So the greatest common factor 13095 and 13107 is 3.

Also check out the Least Common Multiple of 13095 and 13107