What is the Greatest Common Factor of 17856 and 17870?

Greatest common factor (GCF) of 17856 and 17870 is 2.

GCF(17856,17870) = 2

We will now calculate the prime factors of 17856 and 17870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17856 and 17870.

How to find the GCF of 17856 and 17870?

We will first find the prime factorization of 17856 and 17870. After we will calculate the factors of 17856 and 17870 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 17870

Prime factors of 17870 are 2, 5, 1787. Prime factorization of 17870 in exponential form is:

17870 = 2¹ × 5¹ × 1787¹

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 17870

List of positive integer factors of 17870 that divides 17856 without a remainder.

1, 2, 5, 10, 1787, 3574, 8935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17856 and 17870. The biggest common factor number is the GCF number.
So the greatest common factor 17856 and 17870 is 2.

Also check out the Least Common Multiple of 17856 and 17870