What is the Greatest Common Factor of 30866 and 30877?

Greatest common factor (GCF) of 30866 and 30877 is 11.

GCF(30866,30877) = 11

We will now calculate the prime factors of 30866 and 30877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30866 and 30877.

How to find the GCF of 30866 and 30877?

We will first find the prime factorization of 30866 and 30877. After we will calculate the factors of 30866 and 30877 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 30877

Prime factors of 30877 are 7, 11, 401. Prime factorization of 30877 in exponential form is:

30877 = 7¹ × 11¹ × 401¹

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 30877

List of positive integer factors of 30877 that divides 30866 without a remainder.

1, 7, 11, 77, 401, 2807, 4411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30866 and 30877. The biggest common factor number is the GCF number.
So the greatest common factor 30866 and 30877 is 11.

Also check out the Least Common Multiple of 30866 and 30877