What is the Greatest Common Factor of 12909 and 12914?

Greatest common factor (GCF) of 12909 and 12914 is 1.

GCF(12909,12914) = 1

We will now calculate the prime factors of 12909 and 12914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12909 and 12914.

How to find the GCF of 12909 and 12914?

We will first find the prime factorization of 12909 and 12914. After we will calculate the factors of 12909 and 12914 and find the biggest common factor number .

Step-1: Prime Factorization of 12909

Prime factors of 12909 are 3, 13, 331. Prime factorization of 12909 in exponential form is:

12909 = 3¹ × 13¹ × 331¹

Step-2: Prime Factorization of 12914

Prime factors of 12914 are 2, 11, 587. Prime factorization of 12914 in exponential form is:

12914 = 2¹ × 11¹ × 587¹

Step-3: Factors of 12909

List of positive integer factors of 12909 that divides 12909 without a remainder.

1, 3, 13, 39, 331, 993, 4303

Step-4: Factors of 12914

List of positive integer factors of 12914 that divides 12909 without a remainder.

1, 2, 11, 22, 587, 1174, 6457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12909 and 12914. The biggest common factor number is the GCF number.
So the greatest common factor 12909 and 12914 is 1.

Also check out the Least Common Multiple of 12909 and 12914