What is the Greatest Common Factor of 17863 and 17874?

Greatest common factor (GCF) of 17863 and 17874 is 1.

GCF(17863,17874) = 1

We will now calculate the prime factors of 17863 and 17874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17863 and 17874.

How to find the GCF of 17863 and 17874?

We will first find the prime factorization of 17863 and 17874. After we will calculate the factors of 17863 and 17874 and find the biggest common factor number .

Step-1: Prime Factorization of 17863

Prime factors of 17863 are 17863. Prime factorization of 17863 in exponential form is:

17863 = 17863¹

Step-2: Prime Factorization of 17874

Prime factors of 17874 are 2, 3, 331. Prime factorization of 17874 in exponential form is:

17874 = 2¹ × 3³ × 331¹

Step-3: Factors of 17863

List of positive integer factors of 17863 that divides 17863 without a remainder.

Step-4: Factors of 17874

List of positive integer factors of 17874 that divides 17863 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 331, 662, 993, 1986, 2979, 5958, 8937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17863 and 17874. The biggest common factor number is the GCF number.
So the greatest common factor 17863 and 17874 is 1.

Also check out the Least Common Multiple of 17863 and 17874