What is the Greatest Common Factor of 16856 and 16871?

Greatest common factor (GCF) of 16856 and 16871 is 1.

GCF(16856,16871) = 1

We will now calculate the prime factors of 16856 and 16871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16856 and 16871.

How to find the GCF of 16856 and 16871?

We will first find the prime factorization of 16856 and 16871. After we will calculate the factors of 16856 and 16871 and find the biggest common factor number .

Step-1: Prime Factorization of 16856

Prime factors of 16856 are 2, 7, 43. Prime factorization of 16856 in exponential form is:

16856 = 2³ × 7² × 43¹

Step-2: Prime Factorization of 16871

Prime factors of 16871 are 16871. Prime factorization of 16871 in exponential form is:

16871 = 16871¹

Step-3: Factors of 16856

List of positive integer factors of 16856 that divides 16856 without a remainder.

1, 2, 4, 7, 8, 14, 28, 43, 49, 56, 86, 98, 172, 196, 301, 344, 392, 602, 1204, 2107, 2408, 4214, 8428

Step-4: Factors of 16871

List of positive integer factors of 16871 that divides 16856 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16856 and 16871. The biggest common factor number is the GCF number.
So the greatest common factor 16856 and 16871 is 1.

Also check out the Least Common Multiple of 16856 and 16871