What is the Greatest Common Factor of 16856 and 16870?

Greatest common factor (GCF) of 16856 and 16870 is 14.

GCF(16856,16870) = 14

We will now calculate the prime factors of 16856 and 16870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16856 and 16870.

How to find the GCF of 16856 and 16870?

We will first find the prime factorization of 16856 and 16870. After we will calculate the factors of 16856 and 16870 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 16870

Prime factors of 16870 are 2, 5, 7, 241. Prime factorization of 16870 in exponential form is:

16870 = 2¹ × 5¹ × 7¹ × 241¹

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 16870

List of positive integer factors of 16870 that divides 16856 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 241, 482, 1205, 1687, 2410, 3374, 8435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16856 and 16870. The biggest common factor number is the GCF number.
So the greatest common factor 16856 and 16870 is 14.

Also check out the Least Common Multiple of 16856 and 16870