What is the Greatest Common Factor of 84585 and 84592?

Greatest common factor (GCF) of 84585 and 84592 is 1.

GCF(84585,84592) = 1

We will now calculate the prime factors of 84585 and 84592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84585 and 84592.

How to find the GCF of 84585 and 84592?

We will first find the prime factorization of 84585 and 84592. After we will calculate the factors of 84585 and 84592 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 84592

Prime factors of 84592 are 2, 17, 311. Prime factorization of 84592 in exponential form is:

84592 = 2⁴ × 17¹ × 311¹

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 84592

List of positive integer factors of 84592 that divides 84585 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 311, 622, 1244, 2488, 4976, 5287, 10574, 21148, 42296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84585 and 84592. The biggest common factor number is the GCF number.
So the greatest common factor 84585 and 84592 is 1.

Also check out the Least Common Multiple of 84585 and 84592