What is the Greatest Common Factor of 84579 and 84594?

Greatest common factor (GCF) of 84579 and 84594 is 3.

GCF(84579,84594) = 3

We will now calculate the prime factors of 84579 and 84594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84579 and 84594.

How to find the GCF of 84579 and 84594?

We will first find the prime factorization of 84579 and 84594. After we will calculate the factors of 84579 and 84594 and find the biggest common factor number .

Step-1: Prime Factorization of 84579

Prime factors of 84579 are 3, 11, 233. Prime factorization of 84579 in exponential form is:

84579 = 3¹ × 11² × 233¹

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 84579

List of positive integer factors of 84579 that divides 84579 without a remainder.

1, 3, 11, 33, 121, 233, 363, 699, 2563, 7689, 28193

Step-4: Factors of 84594

List of positive integer factors of 84594 that divides 84579 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 84579 and 84594. The biggest common factor number is the GCF number.
So the greatest common factor 84579 and 84594 is 3.

Also check out the Least Common Multiple of 84579 and 84594