What is the Greatest Common Factor of 16688 and 16697?

Greatest common factor (GCF) of 16688 and 16697 is 1.

GCF(16688,16697) = 1

We will now calculate the prime factors of 16688 and 16697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16688 and 16697.

How to find the GCF of 16688 and 16697?

We will first find the prime factorization of 16688 and 16697. After we will calculate the factors of 16688 and 16697 and find the biggest common factor number .

Step-1: Prime Factorization of 16688

Prime factors of 16688 are 2, 7, 149. Prime factorization of 16688 in exponential form is:

16688 = 2⁴ × 7¹ × 149¹

Step-2: Prime Factorization of 16697

Prime factors of 16697 are 59, 283. Prime factorization of 16697 in exponential form is:

16697 = 59¹ × 283¹

Step-3: Factors of 16688

List of positive integer factors of 16688 that divides 16688 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 149, 298, 596, 1043, 1192, 2086, 2384, 4172, 8344

Step-4: Factors of 16697

List of positive integer factors of 16697 that divides 16688 without a remainder.

1, 59, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16688 and 16697. The biggest common factor number is the GCF number.
So the greatest common factor 16688 and 16697 is 1.

Also check out the Least Common Multiple of 16688 and 16697