What is the Greatest Common Factor of 17844 and 17856?

Greatest common factor (GCF) of 17844 and 17856 is 12.

GCF(17844,17856) = 12

We will now calculate the prime factors of 17844 and 17856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17844 and 17856.

How to find the GCF of 17844 and 17856?

We will first find the prime factorization of 17844 and 17856. After we will calculate the factors of 17844 and 17856 and find the biggest common factor number .

Step-1: Prime Factorization of 17844

Prime factors of 17844 are 2, 3, 1487. Prime factorization of 17844 in exponential form is:

17844 = 2² × 3¹ × 1487¹

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 17844

List of positive integer factors of 17844 that divides 17844 without a remainder.

1, 2, 3, 4, 6, 12, 1487, 2974, 4461, 5948, 8922

Step-4: Factors of 17856

List of positive integer factors of 17856 that divides 17844 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 17844 and 17856. The biggest common factor number is the GCF number.
So the greatest common factor 17844 and 17856 is 12.

Also check out the Least Common Multiple of 17844 and 17856