What is the Greatest Common Factor of 27270 and 27288?

Greatest common factor (GCF) of 27270 and 27288 is 18.

GCF(27270,27288) = 18

We will now calculate the prime factors of 27270 and 27288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27270 and 27288.

How to find the GCF of 27270 and 27288?

We will first find the prime factorization of 27270 and 27288. After we will calculate the factors of 27270 and 27288 and find the biggest common factor number .

Step-1: Prime Factorization of 27270

Prime factors of 27270 are 2, 3, 5, 101. Prime factorization of 27270 in exponential form is:

27270 = 2¹ × 3³ × 5¹ × 101¹

Step-2: Prime Factorization of 27288

Prime factors of 27288 are 2, 3, 379. Prime factorization of 27288 in exponential form is:

27288 = 2³ × 3² × 379¹

Step-3: Factors of 27270

List of positive integer factors of 27270 that divides 27270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 101, 135, 202, 270, 303, 505, 606, 909, 1010, 1515, 1818, 2727, 3030, 4545, 5454, 9090, 13635

Step-4: Factors of 27288

List of positive integer factors of 27288 that divides 27270 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 379, 758, 1137, 1516, 2274, 3032, 3411, 4548, 6822, 9096, 13644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27270 and 27288. The biggest common factor number is the GCF number.
So the greatest common factor 27270 and 27288 is 18.

Also check out the Least Common Multiple of 27270 and 27288