What is the Greatest Common Factor of 74855 and 74866?

Greatest common factor (GCF) of 74855 and 74866 is 11.

GCF(74855,74866) = 11

We will now calculate the prime factors of 74855 and 74866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74855 and 74866.

How to find the GCF of 74855 and 74866?

We will first find the prime factorization of 74855 and 74866. After we will calculate the factors of 74855 and 74866 and find the biggest common factor number .

Step-1: Prime Factorization of 74855

Prime factors of 74855 are 5, 11, 1361. Prime factorization of 74855 in exponential form is:

74855 = 5¹ × 11¹ × 1361¹

Step-2: 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-3: Factors of 74855

List of positive integer factors of 74855 that divides 74855 without a remainder.

1, 5, 11, 55, 1361, 6805, 14971

Step-4: Factors of 74866

List of positive integer factors of 74866 that divides 74855 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74855 and 74866. The biggest common factor number is the GCF number.
So the greatest common factor 74855 and 74866 is 11.

Also check out the Least Common Multiple of 74855 and 74866