What is the Greatest Common Factor of 16689 and 16707?

Greatest common factor (GCF) of 16689 and 16707 is 3.

GCF(16689,16707) = 3

We will now calculate the prime factors of 16689 and 16707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16689 and 16707.

How to find the GCF of 16689 and 16707?

We will first find the prime factorization of 16689 and 16707. After we will calculate the factors of 16689 and 16707 and find the biggest common factor number .

Step-1: Prime Factorization of 16689

Prime factors of 16689 are 3, 5563. Prime factorization of 16689 in exponential form is:

16689 = 3¹ × 5563¹

Step-2: Prime Factorization of 16707

Prime factors of 16707 are 3, 5569. Prime factorization of 16707 in exponential form is:

16707 = 3¹ × 5569¹

Step-3: Factors of 16689

List of positive integer factors of 16689 that divides 16689 without a remainder.

1, 3, 5563

Step-4: Factors of 16707

List of positive integer factors of 16707 that divides 16689 without a remainder.

1, 3, 5569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16689 and 16707. The biggest common factor number is the GCF number.
So the greatest common factor 16689 and 16707 is 3.

Also check out the Least Common Multiple of 16689 and 16707