What is the Greatest Common Factor of 17838 and 17856?

Greatest common factor (GCF) of 17838 and 17856 is 18.

GCF(17838,17856) = 18

We will now calculate the prime factors of 17838 and 17856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17838 and 17856.

How to find the GCF of 17838 and 17856?

We will first find the prime factorization of 17838 and 17856. After we will calculate the factors of 17838 and 17856 and find the biggest common factor number .

Step-1: Prime Factorization of 17838

Prime factors of 17838 are 2, 3, 991. Prime factorization of 17838 in exponential form is:

17838 = 2¹ × 3² × 991¹

Step-2: 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-3: Factors of 17838

List of positive integer factors of 17838 that divides 17838 without a remainder.

1, 2, 3, 6, 9, 18, 991, 1982, 2973, 5946, 8919

Step-4: Factors of 17856

List of positive integer factors of 17856 that divides 17838 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17838 and 17856. The biggest common factor number is the GCF number.
So the greatest common factor 17838 and 17856 is 18.

Also check out the Least Common Multiple of 17838 and 17856