What is the Greatest Common Factor of 17585 and 17602?

Greatest common factor (GCF) of 17585 and 17602 is 1.

GCF(17585,17602) = 1

We will now calculate the prime factors of 17585 and 17602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17585 and 17602.

How to find the GCF of 17585 and 17602?

We will first find the prime factorization of 17585 and 17602. After we will calculate the factors of 17585 and 17602 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 17602

Prime factors of 17602 are 2, 13, 677. Prime factorization of 17602 in exponential form is:

17602 = 2¹ × 13¹ × 677¹

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 17602

List of positive integer factors of 17602 that divides 17585 without a remainder.

1, 2, 13, 26, 677, 1354, 8801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17585 and 17602. The biggest common factor number is the GCF number.
So the greatest common factor 17585 and 17602 is 1.

Also check out the Least Common Multiple of 17585 and 17602