What is the Greatest Common Factor of 27540 and 27557?

Greatest common factor (GCF) of 27540 and 27557 is 17.

GCF(27540,27557) = 17

We will now calculate the prime factors of 27540 and 27557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27540 and 27557.

How to find the GCF of 27540 and 27557?

We will first find the prime factorization of 27540 and 27557. After we will calculate the factors of 27540 and 27557 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 27557

Prime factors of 27557 are 17, 1621. Prime factorization of 27557 in exponential form is:

27557 = 17¹ × 1621¹

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 27557

List of positive integer factors of 27557 that divides 27540 without a remainder.

1, 17, 1621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27540 and 27557. The biggest common factor number is the GCF number.
So the greatest common factor 27540 and 27557 is 17.

Also check out the Least Common Multiple of 27540 and 27557