What is the Greatest Common Factor of 16674 and 16684?

Greatest common factor (GCF) of 16674 and 16684 is 2.

GCF(16674,16684) = 2

We will now calculate the prime factors of 16674 and 16684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16674 and 16684.

How to find the GCF of 16674 and 16684?

We will first find the prime factorization of 16674 and 16684. After we will calculate the factors of 16674 and 16684 and find the biggest common factor number .

Step-1: Prime Factorization of 16674

Prime factors of 16674 are 2, 3, 7, 397. Prime factorization of 16674 in exponential form is:

16674 = 2¹ × 3¹ × 7¹ × 397¹

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 16674

List of positive integer factors of 16674 that divides 16674 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 397, 794, 1191, 2382, 2779, 5558, 8337

Step-4: Factors of 16684

List of positive integer factors of 16684 that divides 16674 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 16674 and 16684. The biggest common factor number is the GCF number.
So the greatest common factor 16674 and 16684 is 2.

Also check out the Least Common Multiple of 16674 and 16684