What is the Greatest Common Factor of 27168 and 27180?

Greatest common factor (GCF) of 27168 and 27180 is 12.

GCF(27168,27180) = 12

We will now calculate the prime factors of 27168 and 27180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27168 and 27180.

How to find the GCF of 27168 and 27180?

We will first find the prime factorization of 27168 and 27180. After we will calculate the factors of 27168 and 27180 and find the biggest common factor number .

Step-1: Prime Factorization of 27168

Prime factors of 27168 are 2, 3, 283. Prime factorization of 27168 in exponential form is:

27168 = 2⁵ × 3¹ × 283¹

Step-2: 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-3: Factors of 27168

List of positive integer factors of 27168 that divides 27168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 283, 566, 849, 1132, 1698, 2264, 3396, 4528, 6792, 9056, 13584

Step-4: Factors of 27180

List of positive integer factors of 27180 that divides 27168 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27168 and 27180. The biggest common factor number is the GCF number.
So the greatest common factor 27168 and 27180 is 12.

Also check out the Least Common Multiple of 27168 and 27180