What is the Greatest Common Factor of 16585 and 16597?

Greatest common factor (GCF) of 16585 and 16597 is 1.

GCF(16585,16597) = 1

We will now calculate the prime factors of 16585 and 16597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16585 and 16597.

How to find the GCF of 16585 and 16597?

We will first find the prime factorization of 16585 and 16597. After we will calculate the factors of 16585 and 16597 and find the biggest common factor number .

Step-1: Prime Factorization of 16585

Prime factors of 16585 are 5, 31, 107. Prime factorization of 16585 in exponential form is:

16585 = 5¹ × 31¹ × 107¹

Step-2: Prime Factorization of 16597

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

16597 = 7¹ × 2371¹

Step-3: Factors of 16585

List of positive integer factors of 16585 that divides 16585 without a remainder.

1, 5, 31, 107, 155, 535, 3317

Step-4: Factors of 16597

List of positive integer factors of 16597 that divides 16585 without a remainder.

1, 7, 2371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16585 and 16597. The biggest common factor number is the GCF number.
So the greatest common factor 16585 and 16597 is 1.

Also check out the Least Common Multiple of 16585 and 16597