What is the Greatest Common Factor of 27180 and 27185?

Greatest common factor (GCF) of 27180 and 27185 is 5.

GCF(27180,27185) = 5

We will now calculate the prime factors of 27180 and 27185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27180 and 27185.

How to find the GCF of 27180 and 27185?

We will first find the prime factorization of 27180 and 27185. After we will calculate the factors of 27180 and 27185 and find the biggest common factor number .

Step-1: Prime Factorization of 27180

Prime factors of 27180 are 2, 3, 5, 151. Prime factorization of 27180 in exponential form is:

27180 = 2² × 3² × 5¹ × 151¹

Step-2: Prime Factorization of 27185

Prime factors of 27185 are 5, 5437. Prime factorization of 27185 in exponential form is:

27185 = 5¹ × 5437¹

Step-3: Factors of 27180

List of positive integer factors of 27180 that divides 27180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 151, 180, 302, 453, 604, 755, 906, 1359, 1510, 1812, 2265, 2718, 3020, 4530, 5436, 6795, 9060, 13590

Step-4: Factors of 27185

List of positive integer factors of 27185 that divides 27180 without a remainder.

1, 5, 5437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27180 and 27185. The biggest common factor number is the GCF number.
So the greatest common factor 27180 and 27185 is 5.

Also check out the Least Common Multiple of 27180 and 27185