What is the Greatest Common Factor of 27579 and 27585?

Greatest common factor (GCF) of 27579 and 27585 is 3.

GCF(27579,27585) = 3

We will now calculate the prime factors of 27579 and 27585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27579 and 27585.

How to find the GCF of 27579 and 27585?

We will first find the prime factorization of 27579 and 27585. After we will calculate the factors of 27579 and 27585 and find the biggest common factor number .

Step-1: Prime Factorization of 27579

Prime factors of 27579 are 3, 29, 317. Prime factorization of 27579 in exponential form is:

27579 = 3¹ × 29¹ × 317¹

Step-2: Prime Factorization of 27585

Prime factors of 27585 are 3, 5, 613. Prime factorization of 27585 in exponential form is:

27585 = 3² × 5¹ × 613¹

Step-3: Factors of 27579

List of positive integer factors of 27579 that divides 27579 without a remainder.

1, 3, 29, 87, 317, 951, 9193

Step-4: Factors of 27585

List of positive integer factors of 27585 that divides 27579 without a remainder.

1, 3, 5, 9, 15, 45, 613, 1839, 3065, 5517, 9195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27579 and 27585. The biggest common factor number is the GCF number.
So the greatest common factor 27579 and 27585 is 3.

Also check out the Least Common Multiple of 27579 and 27585