What is the Greatest Common Factor of 17856 and 17866?

Greatest common factor (GCF) of 17856 and 17866 is 2.

GCF(17856,17866) = 2

We will now calculate the prime factors of 17856 and 17866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17856 and 17866.

How to find the GCF of 17856 and 17866?

We will first find the prime factorization of 17856 and 17866. After we will calculate the factors of 17856 and 17866 and find the biggest common factor number .

Step-1: Prime Factorization of 17856

Prime factors of 17856 are 2, 3, 31. Prime factorization of 17856 in exponential form is:

17856 = 2⁶ × 3² × 31¹

Step-2: Prime Factorization of 17866

Prime factors of 17866 are 2, 8933. Prime factorization of 17866 in exponential form is:

17866 = 2¹ × 8933¹

Step-3: Factors of 17856

List of positive integer factors of 17856 that divides 17856 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 32, 36, 48, 62, 64, 72, 93, 96, 124, 144, 186, 192, 248, 279, 288, 372, 496, 558, 576, 744, 992, 1116, 1488, 1984, 2232, 2976, 4464, 5952, 8928

Step-4: Factors of 17866

List of positive integer factors of 17866 that divides 17856 without a remainder.

1, 2, 8933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17856 and 17866. The biggest common factor number is the GCF number.
So the greatest common factor 17856 and 17866 is 2.

Also check out the Least Common Multiple of 17856 and 17866