What is the Greatest Common Factor of 84585 and 84594?

Greatest common factor (GCF) of 84585 and 84594 is 3.

GCF(84585,84594) = 3

We will now calculate the prime factors of 84585 and 84594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84585 and 84594.

How to find the GCF of 84585 and 84594?

We will first find the prime factorization of 84585 and 84594. After we will calculate the factors of 84585 and 84594 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 84594

Prime factors of 84594 are 2, 3, 23, 613. Prime factorization of 84594 in exponential form is:

84594 = 2¹ × 3¹ × 23¹ × 613¹

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 84594

List of positive integer factors of 84594 that divides 84585 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 613, 1226, 1839, 3678, 14099, 28198, 42297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84585 and 84594. The biggest common factor number is the GCF number.
So the greatest common factor 84585 and 84594 is 3.

Also check out the Least Common Multiple of 84585 and 84594