What is the Greatest Common Factor of 30866 and 30872?

Greatest common factor (GCF) of 30866 and 30872 is 2.

GCF(30866,30872) = 2

We will now calculate the prime factors of 30866 and 30872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30866 and 30872.

How to find the GCF of 30866 and 30872?

We will first find the prime factorization of 30866 and 30872. After we will calculate the factors of 30866 and 30872 and find the biggest common factor number .

Step-1: Prime Factorization of 30866

Prime factors of 30866 are 2, 11, 23, 61. Prime factorization of 30866 in exponential form is:

30866 = 2¹ × 11¹ × 23¹ × 61¹

Step-2: Prime Factorization of 30872

Prime factors of 30872 are 2, 17, 227. Prime factorization of 30872 in exponential form is:

30872 = 2³ × 17¹ × 227¹

Step-3: Factors of 30866

List of positive integer factors of 30866 that divides 30866 without a remainder.

1, 2, 11, 22, 23, 46, 61, 122, 253, 506, 671, 1342, 1403, 2806, 15433

Step-4: Factors of 30872

List of positive integer factors of 30872 that divides 30866 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 227, 454, 908, 1816, 3859, 7718, 15436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30866 and 30872. The biggest common factor number is the GCF number.
So the greatest common factor 30866 and 30872 is 2.

Also check out the Least Common Multiple of 30866 and 30872