What is the Greatest Common Factor of 27540 and 27558?

Greatest common factor (GCF) of 27540 and 27558 is 18.

GCF(27540,27558) = 18

We will now calculate the prime factors of 27540 and 27558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27540 and 27558.

How to find the GCF of 27540 and 27558?

We will first find the prime factorization of 27540 and 27558. After we will calculate the factors of 27540 and 27558 and find the biggest common factor number .

Step-1: Prime Factorization of 27540

Prime factors of 27540 are 2, 3, 5, 17. Prime factorization of 27540 in exponential form is:

27540 = 2² × 3⁴ × 5¹ × 17¹

Step-2: Prime Factorization of 27558

Prime factors of 27558 are 2, 3, 1531. Prime factorization of 27558 in exponential form is:

27558 = 2¹ × 3² × 1531¹

Step-3: Factors of 27540

List of positive integer factors of 27540 that divides 27540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 81, 85, 90, 102, 108, 135, 153, 162, 170, 180, 204, 255, 270, 306, 324, 340, 405, 459, 510, 540, 612, 765, 810, 918, 1020, 1377, 1530, 1620, 1836, 2295, 2754, 3060, 4590, 5508, 6885, 9180, 13770

Step-4: Factors of 27558

List of positive integer factors of 27558 that divides 27540 without a remainder.

1, 2, 3, 6, 9, 18, 1531, 3062, 4593, 9186, 13779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27540 and 27558. The biggest common factor number is the GCF number.
So the greatest common factor 27540 and 27558 is 18.

Also check out the Least Common Multiple of 27540 and 27558