What is the Greatest Common Factor of 13107 and 13123?

Greatest common factor (GCF) of 13107 and 13123 is 1.

GCF(13107,13123) = 1

We will now calculate the prime factors of 13107 and 13123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13107 and 13123.

How to find the GCF of 13107 and 13123?

We will first find the prime factorization of 13107 and 13123. After we will calculate the factors of 13107 and 13123 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 13123

Prime factors of 13123 are 11, 1193. Prime factorization of 13123 in exponential form is:

13123 = 11¹ × 1193¹

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 13123

List of positive integer factors of 13123 that divides 13107 without a remainder.

1, 11, 1193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13107 and 13123. The biggest common factor number is the GCF number.
So the greatest common factor 13107 and 13123 is 1.

Also check out the Least Common Multiple of 13107 and 13123