What is the Greatest Common Factor of 74866 and 74877?

Greatest common factor (GCF) of 74866 and 74877 is 11.

GCF(74866,74877) = 11

We will now calculate the prime factors of 74866 and 74877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74866 and 74877.

How to find the GCF of 74866 and 74877?

We will first find the prime factorization of 74866 and 74877. After we will calculate the factors of 74866 and 74877 and find the biggest common factor number .

Step-1: Prime Factorization of 74866

Prime factors of 74866 are 2, 11, 41, 83. Prime factorization of 74866 in exponential form is:

74866 = 2¹ × 11¹ × 41¹ × 83¹

Step-2: Prime Factorization of 74877

Prime factors of 74877 are 3, 11, 2269. Prime factorization of 74877 in exponential form is:

74877 = 3¹ × 11¹ × 2269¹

Step-3: Factors of 74866

List of positive integer factors of 74866 that divides 74866 without a remainder.

1, 2, 11, 22, 41, 82, 83, 166, 451, 902, 913, 1826, 3403, 6806, 37433

Step-4: Factors of 74877

List of positive integer factors of 74877 that divides 74866 without a remainder.

1, 3, 11, 33, 2269, 6807, 24959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74866 and 74877. The biggest common factor number is the GCF number.
So the greatest common factor 74866 and 74877 is 11.

Also check out the Least Common Multiple of 74866 and 74877