What is the Greatest Common Factor of 11866 and 11886?

Greatest common factor (GCF) of 11866 and 11886 is 2.

GCF(11866,11886) = 2

We will now calculate the prime factors of 11866 and 11886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11866 and 11886.

How to find the GCF of 11866 and 11886?

We will first find the prime factorization of 11866 and 11886. After we will calculate the factors of 11866 and 11886 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11886

Prime factors of 11886 are 2, 3, 7, 283. Prime factorization of 11886 in exponential form is:

11886 = 2¹ × 3¹ × 7¹ × 283¹

Step-3: Factors of 11866

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

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

Step-4: Factors of 11886

List of positive integer factors of 11886 that divides 11866 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 283, 566, 849, 1698, 1981, 3962, 5943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11866 and 11886. The biggest common factor number is the GCF number.
So the greatest common factor 11866 and 11886 is 2.

Also check out the Least Common Multiple of 11866 and 11886