What is the Greatest Common Factor of 16671 and 16686?

Greatest common factor (GCF) of 16671 and 16686 is 3.

GCF(16671,16686) = 3

We will now calculate the prime factors of 16671 and 16686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16671 and 16686.

How to find the GCF of 16671 and 16686?

We will first find the prime factorization of 16671 and 16686. After we will calculate the factors of 16671 and 16686 and find the biggest common factor number .

Step-1: Prime Factorization of 16671

Prime factors of 16671 are 3, 5557. Prime factorization of 16671 in exponential form is:

16671 = 3¹ × 5557¹

Step-2: Prime Factorization of 16686

Prime factors of 16686 are 2, 3, 103. Prime factorization of 16686 in exponential form is:

16686 = 2¹ × 3⁴ × 103¹

Step-3: Factors of 16671

List of positive integer factors of 16671 that divides 16671 without a remainder.

1, 3, 5557

Step-4: Factors of 16686

List of positive integer factors of 16686 that divides 16671 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 103, 162, 206, 309, 618, 927, 1854, 2781, 5562, 8343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16671 and 16686. The biggest common factor number is the GCF number.
So the greatest common factor 16671 and 16686 is 3.

Also check out the Least Common Multiple of 16671 and 16686