What is the Greatest Common Factor of 27585 and 27605?

Greatest common factor (GCF) of 27585 and 27605 is 5.

GCF(27585,27605) = 5

We will now calculate the prime factors of 27585 and 27605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27585 and 27605.

How to find the GCF of 27585 and 27605?

We will first find the prime factorization of 27585 and 27605. After we will calculate the factors of 27585 and 27605 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27605

Prime factors of 27605 are 5, 5521. Prime factorization of 27605 in exponential form is:

27605 = 5¹ × 5521¹

Step-3: Factors of 27585

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

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

Step-4: Factors of 27605

List of positive integer factors of 27605 that divides 27585 without a remainder.

1, 5, 5521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27585 and 27605. The biggest common factor number is the GCF number.
So the greatest common factor 27585 and 27605 is 5.

Also check out the Least Common Multiple of 27585 and 27605