What is the Greatest Common Factor of 16667 and 16686?

Greatest common factor (GCF) of 16667 and 16686 is 1.

GCF(16667,16686) = 1

We will now calculate the prime factors of 16667 and 16686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16667 and 16686.

How to find the GCF of 16667 and 16686?

We will first find the prime factorization of 16667 and 16686. After we will calculate the factors of 16667 and 16686 and find the biggest common factor number .

Step-1: Prime Factorization of 16667

Prime factors of 16667 are 7, 2381. Prime factorization of 16667 in exponential form is:

16667 = 7¹ × 2381¹

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 16667

List of positive integer factors of 16667 that divides 16667 without a remainder.

1, 7, 2381

Step-4: Factors of 16686

List of positive integer factors of 16686 that divides 16667 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 16667 and 16686. The biggest common factor number is the GCF number.
So the greatest common factor 16667 and 16686 is 1.

Also check out the Least Common Multiple of 16667 and 16686