What is the Greatest Common Factor of 16857 and 16869?

Greatest common factor (GCF) of 16857 and 16869 is 3.

GCF(16857,16869) = 3

We will now calculate the prime factors of 16857 and 16869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16857 and 16869.

How to find the GCF of 16857 and 16869?

We will first find the prime factorization of 16857 and 16869. After we will calculate the factors of 16857 and 16869 and find the biggest common factor number .

Step-1: Prime Factorization of 16857

Prime factors of 16857 are 3, 1873. Prime factorization of 16857 in exponential form is:

16857 = 3² × 1873¹

Step-2: Prime Factorization of 16869

Prime factors of 16869 are 3, 5623. Prime factorization of 16869 in exponential form is:

16869 = 3¹ × 5623¹

Step-3: Factors of 16857

List of positive integer factors of 16857 that divides 16857 without a remainder.

1, 3, 9, 1873, 5619

Step-4: Factors of 16869

List of positive integer factors of 16869 that divides 16857 without a remainder.

1, 3, 5623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16857 and 16869. The biggest common factor number is the GCF number.
So the greatest common factor 16857 and 16869 is 3.

Also check out the Least Common Multiple of 16857 and 16869