What is the Greatest Common Factor of 17856 and 17861?

Greatest common factor (GCF) of 17856 and 17861 is 1.

GCF(17856,17861) = 1

We will now calculate the prime factors of 17856 and 17861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17856 and 17861.

How to find the GCF of 17856 and 17861?

We will first find the prime factorization of 17856 and 17861. After we will calculate the factors of 17856 and 17861 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 17861

Prime factors of 17861 are 53, 337. Prime factorization of 17861 in exponential form is:

17861 = 53¹ × 337¹

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 17861

List of positive integer factors of 17861 that divides 17856 without a remainder.

1, 53, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17856 and 17861. The biggest common factor number is the GCF number.
So the greatest common factor 17856 and 17861 is 1.

Also check out the Least Common Multiple of 17856 and 17861