What is the Greatest Common Factor of 16926 and 16939?

Greatest common factor (GCF) of 16926 and 16939 is 13.

GCF(16926,16939) = 13

We will now calculate the prime factors of 16926 and 16939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16926 and 16939.

How to find the GCF of 16926 and 16939?

We will first find the prime factorization of 16926 and 16939. After we will calculate the factors of 16926 and 16939 and find the biggest common factor number .

Step-1: Prime Factorization of 16926

Prime factors of 16926 are 2, 3, 7, 13, 31. Prime factorization of 16926 in exponential form is:

16926 = 2¹ × 3¹ × 7¹ × 13¹ × 31¹

Step-2: Prime Factorization of 16939

Prime factors of 16939 are 13, 1303. Prime factorization of 16939 in exponential form is:

16939 = 13¹ × 1303¹

Step-3: Factors of 16926

List of positive integer factors of 16926 that divides 16926 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 31, 39, 42, 62, 78, 91, 93, 182, 186, 217, 273, 403, 434, 546, 651, 806, 1209, 1302, 2418, 2821, 5642, 8463

Step-4: Factors of 16939

List of positive integer factors of 16939 that divides 16926 without a remainder.

1, 13, 1303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16926 and 16939. The biggest common factor number is the GCF number.
So the greatest common factor 16926 and 16939 is 13.

Also check out the Least Common Multiple of 16926 and 16939