What is the Greatest Common Factor of 16866 and 16882?

Greatest common factor (GCF) of 16866 and 16882 is 2.

GCF(16866,16882) = 2

We will now calculate the prime factors of 16866 and 16882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16866 and 16882.

How to find the GCF of 16866 and 16882?

We will first find the prime factorization of 16866 and 16882. After we will calculate the factors of 16866 and 16882 and find the biggest common factor number .

Step-1: Prime Factorization of 16866

Prime factors of 16866 are 2, 3, 937. Prime factorization of 16866 in exponential form is:

16866 = 2¹ × 3² × 937¹

Step-2: Prime Factorization of 16882

Prime factors of 16882 are 2, 23, 367. Prime factorization of 16882 in exponential form is:

16882 = 2¹ × 23¹ × 367¹

Step-3: Factors of 16866

List of positive integer factors of 16866 that divides 16866 without a remainder.

1, 2, 3, 6, 9, 18, 937, 1874, 2811, 5622, 8433

Step-4: Factors of 16882

List of positive integer factors of 16882 that divides 16866 without a remainder.

1, 2, 23, 46, 367, 734, 8441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16866 and 16882. The biggest common factor number is the GCF number.
So the greatest common factor 16866 and 16882 is 2.

Also check out the Least Common Multiple of 16866 and 16882