What is the Greatest Common Factor of 17874 and 17881?

Greatest common factor (GCF) of 17874 and 17881 is 1.

GCF(17874,17881) = 1

We will now calculate the prime factors of 17874 and 17881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17874 and 17881.

How to find the GCF of 17874 and 17881?

We will first find the prime factorization of 17874 and 17881. After we will calculate the factors of 17874 and 17881 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17881

Prime factors of 17881 are 17881. Prime factorization of 17881 in exponential form is:

17881 = 17881¹

Step-3: Factors of 17874

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

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

Step-4: Factors of 17881

List of positive integer factors of 17881 that divides 17874 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17874 and 17881. The biggest common factor number is the GCF number.
So the greatest common factor 17874 and 17881 is 1.

Also check out the Least Common Multiple of 17874 and 17881