What is the Greatest Common Factor of 16597 and 16617?

Greatest common factor (GCF) of 16597 and 16617 is 1.

GCF(16597,16617) = 1

We will now calculate the prime factors of 16597 and 16617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16597 and 16617.

How to find the GCF of 16597 and 16617?

We will first find the prime factorization of 16597 and 16617. After we will calculate the factors of 16597 and 16617 and find the biggest common factor number .

Step-1: Prime Factorization of 16597

Prime factors of 16597 are 7, 2371. Prime factorization of 16597 in exponential form is:

16597 = 7¹ × 2371¹

Step-2: Prime Factorization of 16617

Prime factors of 16617 are 3, 29, 191. Prime factorization of 16617 in exponential form is:

16617 = 3¹ × 29¹ × 191¹

Step-3: Factors of 16597

List of positive integer factors of 16597 that divides 16597 without a remainder.

1, 7, 2371

Step-4: Factors of 16617

List of positive integer factors of 16617 that divides 16597 without a remainder.

1, 3, 29, 87, 191, 573, 5539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16597 and 16617. The biggest common factor number is the GCF number.
So the greatest common factor 16597 and 16617 is 1.

Also check out the Least Common Multiple of 16597 and 16617