What is the Greatest Common Factor of 11849 and 11866?

Greatest common factor (GCF) of 11849 and 11866 is 17.

GCF(11849,11866) = 17

We will now calculate the prime factors of 11849 and 11866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11849 and 11866.

How to find the GCF of 11849 and 11866?

We will first find the prime factorization of 11849 and 11866. After we will calculate the factors of 11849 and 11866 and find the biggest common factor number .

Step-1: Prime Factorization of 11849

Prime factors of 11849 are 17, 41. Prime factorization of 11849 in exponential form is:

11849 = 17² × 41¹

Step-2: Prime Factorization of 11866

Prime factors of 11866 are 2, 17, 349. Prime factorization of 11866 in exponential form is:

11866 = 2¹ × 17¹ × 349¹

Step-3: Factors of 11849

List of positive integer factors of 11849 that divides 11849 without a remainder.

1, 17, 41, 289, 697

Step-4: Factors of 11866

List of positive integer factors of 11866 that divides 11849 without a remainder.

1, 2, 17, 34, 349, 698, 5933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11849 and 11866. The biggest common factor number is the GCF number.
So the greatest common factor 11849 and 11866 is 17.

Also check out the Least Common Multiple of 11849 and 11866