What is the Greatest Common Factor of 17585 and 17591?

Greatest common factor (GCF) of 17585 and 17591 is 1.

GCF(17585,17591) = 1

We will now calculate the prime factors of 17585 and 17591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17585 and 17591.

How to find the GCF of 17585 and 17591?

We will first find the prime factorization of 17585 and 17591. After we will calculate the factors of 17585 and 17591 and find the biggest common factor number .

Step-1: Prime Factorization of 17585

Prime factors of 17585 are 5, 3517. Prime factorization of 17585 in exponential form is:

17585 = 5¹ × 3517¹

Step-2: Prime Factorization of 17591

Prime factors of 17591 are 7, 359. Prime factorization of 17591 in exponential form is:

17591 = 7² × 359¹

Step-3: Factors of 17585

List of positive integer factors of 17585 that divides 17585 without a remainder.

1, 5, 3517

Step-4: Factors of 17591

List of positive integer factors of 17591 that divides 17585 without a remainder.

1, 7, 49, 359, 2513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17585 and 17591. The biggest common factor number is the GCF number.
So the greatest common factor 17585 and 17591 is 1.

Also check out the Least Common Multiple of 17585 and 17591