What is the Greatest Common Factor of 17874 and 17891?

Greatest common factor (GCF) of 17874 and 17891 is 1.

GCF(17874,17891) = 1

We will now calculate the prime factors of 17874 and 17891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17874 and 17891.

How to find the GCF of 17874 and 17891?

We will first find the prime factorization of 17874 and 17891. After we will calculate the factors of 17874 and 17891 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 17891

Prime factors of 17891 are 17891. Prime factorization of 17891 in exponential form is:

17891 = 17891¹

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 17891

List of positive integer factors of 17891 that divides 17874 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17874 and 17891. The biggest common factor number is the GCF number.
So the greatest common factor 17874 and 17891 is 1.

Also check out the Least Common Multiple of 17874 and 17891