What is the Greatest Common Factor of 11917 and 11934?

Greatest common factor (GCF) of 11917 and 11934 is 17.

GCF(11917,11934) = 17

We will now calculate the prime factors of 11917 and 11934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11917 and 11934.

How to find the GCF of 11917 and 11934?

We will first find the prime factorization of 11917 and 11934. After we will calculate the factors of 11917 and 11934 and find the biggest common factor number .

Step-1: Prime Factorization of 11917

Prime factors of 11917 are 17, 701. Prime factorization of 11917 in exponential form is:

11917 = 17¹ × 701¹

Step-2: Prime Factorization of 11934

Prime factors of 11934 are 2, 3, 13, 17. Prime factorization of 11934 in exponential form is:

11934 = 2¹ × 3³ × 13¹ × 17¹

Step-3: Factors of 11917

List of positive integer factors of 11917 that divides 11917 without a remainder.

1, 17, 701

Step-4: Factors of 11934

List of positive integer factors of 11934 that divides 11917 without a remainder.

1, 2, 3, 6, 9, 13, 17, 18, 26, 27, 34, 39, 51, 54, 78, 102, 117, 153, 221, 234, 306, 351, 442, 459, 663, 702, 918, 1326, 1989, 3978, 5967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11917 and 11934. The biggest common factor number is the GCF number.
So the greatest common factor 11917 and 11934 is 17.

Also check out the Least Common Multiple of 11917 and 11934