What is the Greatest Common Factor of 12909 and 12922?

Greatest common factor (GCF) of 12909 and 12922 is 13.

GCF(12909,12922) = 13

We will now calculate the prime factors of 12909 and 12922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12909 and 12922.

How to find the GCF of 12909 and 12922?

We will first find the prime factorization of 12909 and 12922. After we will calculate the factors of 12909 and 12922 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 12922

Prime factors of 12922 are 2, 7, 13, 71. Prime factorization of 12922 in exponential form is:

12922 = 2¹ × 7¹ × 13¹ × 71¹

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 12922

List of positive integer factors of 12922 that divides 12909 without a remainder.

1, 2, 7, 13, 14, 26, 71, 91, 142, 182, 497, 923, 994, 1846, 6461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12909 and 12922. The biggest common factor number is the GCF number.
So the greatest common factor 12909 and 12922 is 13.

Also check out the Least Common Multiple of 12909 and 12922