What is the Greatest Common Factor of 27180 and 27190?

Greatest common factor (GCF) of 27180 and 27190 is 10.

GCF(27180,27190) = 10

We will now calculate the prime factors of 27180 and 27190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27180 and 27190.

How to find the GCF of 27180 and 27190?

We will first find the prime factorization of 27180 and 27190. After we will calculate the factors of 27180 and 27190 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 27190

Prime factors of 27190 are 2, 5, 2719. Prime factorization of 27190 in exponential form is:

27190 = 2¹ × 5¹ × 2719¹

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 27190

List of positive integer factors of 27190 that divides 27180 without a remainder.

1, 2, 5, 10, 2719, 5438, 13595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27180 and 27190. The biggest common factor number is the GCF number.
So the greatest common factor 27180 and 27190 is 10.

Also check out the Least Common Multiple of 27180 and 27190