What is the Greatest Common Factor of 16857 and 16867?

Greatest common factor (GCF) of 16857 and 16867 is 1.

GCF(16857,16867) = 1

We will now calculate the prime factors of 16857 and 16867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16857 and 16867.

How to find the GCF of 16857 and 16867?

We will first find the prime factorization of 16857 and 16867. After we will calculate the factors of 16857 and 16867 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 16867

Prime factors of 16867 are 101, 167. Prime factorization of 16867 in exponential form is:

16867 = 101¹ × 167¹

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 16867

List of positive integer factors of 16867 that divides 16857 without a remainder.

1, 101, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16857 and 16867. The biggest common factor number is the GCF number.
So the greatest common factor 16857 and 16867 is 1.

Also check out the Least Common Multiple of 16857 and 16867