What is the Greatest Common Factor of 16678 and 16684?

Greatest common factor (GCF) of 16678 and 16684 is 2.

GCF(16678,16684) = 2

We will now calculate the prime factors of 16678 and 16684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16678 and 16684.

How to find the GCF of 16678 and 16684?

We will first find the prime factorization of 16678 and 16684. After we will calculate the factors of 16678 and 16684 and find the biggest common factor number .

Step-1: Prime Factorization of 16678

Prime factors of 16678 are 2, 31, 269. Prime factorization of 16678 in exponential form is:

16678 = 2¹ × 31¹ × 269¹

Step-2: Prime Factorization of 16684

Prime factors of 16684 are 2, 43, 97. Prime factorization of 16684 in exponential form is:

16684 = 2² × 43¹ × 97¹

Step-3: Factors of 16678

List of positive integer factors of 16678 that divides 16678 without a remainder.

1, 2, 31, 62, 269, 538, 8339

Step-4: Factors of 16684

List of positive integer factors of 16684 that divides 16678 without a remainder.

1, 2, 4, 43, 86, 97, 172, 194, 388, 4171, 8342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16678 and 16684. The biggest common factor number is the GCF number.
So the greatest common factor 16678 and 16684 is 2.

Also check out the Least Common Multiple of 16678 and 16684