What is the Greatest Common Factor of 74866 and 74870?

Greatest common factor (GCF) of 74866 and 74870 is 2.

GCF(74866,74870) = 2

We will now calculate the prime factors of 74866 and 74870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74866 and 74870.

How to find the GCF of 74866 and 74870?

We will first find the prime factorization of 74866 and 74870. After we will calculate the factors of 74866 and 74870 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 74870

Prime factors of 74870 are 2, 5, 7487. Prime factorization of 74870 in exponential form is:

74870 = 2¹ × 5¹ × 7487¹

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 74870

List of positive integer factors of 74870 that divides 74866 without a remainder.

1, 2, 5, 10, 7487, 14974, 37435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74866 and 74870. The biggest common factor number is the GCF number.
So the greatest common factor 74866 and 74870 is 2.

Also check out the Least Common Multiple of 74866 and 74870