What is the Greatest Common Factor of 16881 and 16889?

Greatest common factor (GCF) of 16881 and 16889 is 1.

GCF(16881,16889) = 1

We will now calculate the prime factors of 16881 and 16889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16881 and 16889.

How to find the GCF of 16881 and 16889?

We will first find the prime factorization of 16881 and 16889. After we will calculate the factors of 16881 and 16889 and find the biggest common factor number .

Step-1: Prime Factorization of 16881

Prime factors of 16881 are 3, 17, 331. Prime factorization of 16881 in exponential form is:

16881 = 3¹ × 17¹ × 331¹

Step-2: Prime Factorization of 16889

Prime factors of 16889 are 16889. Prime factorization of 16889 in exponential form is:

16889 = 16889¹

Step-3: Factors of 16881

List of positive integer factors of 16881 that divides 16881 without a remainder.

1, 3, 17, 51, 331, 993, 5627

Step-4: Factors of 16889

List of positive integer factors of 16889 that divides 16881 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16881 and 16889. The biggest common factor number is the GCF number.
So the greatest common factor 16881 and 16889 is 1.

Also check out the Least Common Multiple of 16881 and 16889