What is the Greatest Common Factor of 84585 and 84589?

Greatest common factor (GCF) of 84585 and 84589 is 1.

GCF(84585,84589) = 1

We will now calculate the prime factors of 84585 and 84589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84585 and 84589.

How to find the GCF of 84585 and 84589?

We will first find the prime factorization of 84585 and 84589. After we will calculate the factors of 84585 and 84589 and find the biggest common factor number .

Step-1: Prime Factorization of 84585

Prime factors of 84585 are 3, 5, 5639. Prime factorization of 84585 in exponential form is:

84585 = 3¹ × 5¹ × 5639¹

Step-2: Prime Factorization of 84589

Prime factors of 84589 are 84589. Prime factorization of 84589 in exponential form is:

84589 = 84589¹

Step-3: Factors of 84585

List of positive integer factors of 84585 that divides 84585 without a remainder.

1, 3, 5, 15, 5639, 16917, 28195

Step-4: Factors of 84589

List of positive integer factors of 84589 that divides 84585 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84585 and 84589. The biggest common factor number is the GCF number.
So the greatest common factor 84585 and 84589 is 1.

Also check out the Least Common Multiple of 84585 and 84589