What is the Greatest Common Factor of 16912 and 16926?

Greatest common factor (GCF) of 16912 and 16926 is 14.

GCF(16912,16926) = 14

We will now calculate the prime factors of 16912 and 16926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16912 and 16926.

How to find the GCF of 16912 and 16926?

We will first find the prime factorization of 16912 and 16926. After we will calculate the factors of 16912 and 16926 and find the biggest common factor number .

Step-1: Prime Factorization of 16912

Prime factors of 16912 are 2, 7, 151. Prime factorization of 16912 in exponential form is:

16912 = 2⁴ × 7¹ × 151¹

Step-2: 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-3: Factors of 16912

List of positive integer factors of 16912 that divides 16912 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 151, 302, 604, 1057, 1208, 2114, 2416, 4228, 8456

Step-4: Factors of 16926

List of positive integer factors of 16926 that divides 16912 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16912 and 16926. The biggest common factor number is the GCF number.
So the greatest common factor 16912 and 16926 is 14.

Also check out the Least Common Multiple of 16912 and 16926