What is the Greatest Common Factor of 27234 and 27240?

Greatest common factor (GCF) of 27234 and 27240 is 6.

GCF(27234,27240) = 6

We will now calculate the prime factors of 27234 and 27240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27234 and 27240.

How to find the GCF of 27234 and 27240?

We will first find the prime factorization of 27234 and 27240. After we will calculate the factors of 27234 and 27240 and find the biggest common factor number .

Step-1: Prime Factorization of 27234

Prime factors of 27234 are 2, 3, 17, 89. Prime factorization of 27234 in exponential form is:

27234 = 2¹ × 3² × 17¹ × 89¹

Step-2: Prime Factorization of 27240

Prime factors of 27240 are 2, 3, 5, 227. Prime factorization of 27240 in exponential form is:

27240 = 2³ × 3¹ × 5¹ × 227¹

Step-3: Factors of 27234

List of positive integer factors of 27234 that divides 27234 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 89, 102, 153, 178, 267, 306, 534, 801, 1513, 1602, 3026, 4539, 9078, 13617

Step-4: Factors of 27240

List of positive integer factors of 27240 that divides 27234 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 227, 454, 681, 908, 1135, 1362, 1816, 2270, 2724, 3405, 4540, 5448, 6810, 9080, 13620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27234 and 27240. The biggest common factor number is the GCF number.
So the greatest common factor 27234 and 27240 is 6.

Also check out the Least Common Multiple of 27234 and 27240