What is the Greatest Common Factor of 16585 and 16592?

Greatest common factor (GCF) of 16585 and 16592 is 1.

GCF(16585,16592) = 1

We will now calculate the prime factors of 16585 and 16592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16585 and 16592.

How to find the GCF of 16585 and 16592?

We will first find the prime factorization of 16585 and 16592. After we will calculate the factors of 16585 and 16592 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 16592

Prime factors of 16592 are 2, 17, 61. Prime factorization of 16592 in exponential form is:

16592 = 2⁴ × 17¹ × 61¹

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 16592

List of positive integer factors of 16592 that divides 16585 without a remainder.

1, 2, 4, 8, 16, 17, 34, 61, 68, 122, 136, 244, 272, 488, 976, 1037, 2074, 4148, 8296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16585 and 16592. The biggest common factor number is the GCF number.
So the greatest common factor 16585 and 16592 is 1.

Also check out the Least Common Multiple of 16585 and 16592