What is the Greatest Common Factor of 7856 and 7866?

Greatest common factor (GCF) of 7856 and 7866 is 2.

GCF(7856,7866) = 2

We will now calculate the prime factors of 7856 and 7866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7856 and 7866.

How to find the GCF of 7856 and 7866?

We will first find the prime factorization of 7856 and 7866. After we will calculate the factors of 7856 and 7866 and find the biggest common factor number .

Step-1: Prime Factorization of 7856

Prime factors of 7856 are 2, 491. Prime factorization of 7856 in exponential form is:

7856 = 2⁴ × 491¹

Step-2: Prime Factorization of 7866

Prime factors of 7866 are 2, 3, 19, 23. Prime factorization of 7866 in exponential form is:

7866 = 2¹ × 3² × 19¹ × 23¹

Step-3: Factors of 7856

List of positive integer factors of 7856 that divides 7856 without a remainder.

1, 2, 4, 8, 16, 491, 982, 1964, 3928

Step-4: Factors of 7866

List of positive integer factors of 7866 that divides 7856 without a remainder.

1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7856 and 7866. The biggest common factor number is the GCF number.
So the greatest common factor 7856 and 7866 is 2.

Also check out the Least Common Multiple of 7856 and 7866