What is the Greatest Common Factor of 30855 and 30866?

Greatest common factor (GCF) of 30855 and 30866 is 11.

GCF(30855,30866) = 11

We will now calculate the prime factors of 30855 and 30866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30855 and 30866.

How to find the GCF of 30855 and 30866?

We will first find the prime factorization of 30855 and 30866. After we will calculate the factors of 30855 and 30866 and find the biggest common factor number .

Step-1: Prime Factorization of 30855

Prime factors of 30855 are 3, 5, 11, 17. Prime factorization of 30855 in exponential form is:

30855 = 3¹ × 5¹ × 11² × 17¹

Step-2: 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-3: Factors of 30855

List of positive integer factors of 30855 that divides 30855 without a remainder.

1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 121, 165, 187, 255, 363, 561, 605, 935, 1815, 2057, 2805, 6171, 10285

Step-4: Factors of 30866

List of positive integer factors of 30866 that divides 30855 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30855 and 30866. The biggest common factor number is the GCF number.
So the greatest common factor 30855 and 30866 is 11.

Also check out the Least Common Multiple of 30855 and 30866