What is the Greatest Common Factor of 16849 and 16856?

Greatest common factor (GCF) of 16849 and 16856 is 7.

GCF(16849,16856) = 7

We will now calculate the prime factors of 16849 and 16856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16849 and 16856.

How to find the GCF of 16849 and 16856?

We will first find the prime factorization of 16849 and 16856. After we will calculate the factors of 16849 and 16856 and find the biggest common factor number .

Step-1: Prime Factorization of 16849

Prime factors of 16849 are 7, 29, 83. Prime factorization of 16849 in exponential form is:

16849 = 7¹ × 29¹ × 83¹

Step-2: 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-3: Factors of 16849

List of positive integer factors of 16849 that divides 16849 without a remainder.

1, 7, 29, 83, 203, 581, 2407

Step-4: Factors of 16856

List of positive integer factors of 16856 that divides 16849 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16849 and 16856. The biggest common factor number is the GCF number.
So the greatest common factor 16849 and 16856 is 7.

Also check out the Least Common Multiple of 16849 and 16856