What is the Greatest Common Factor of 27540 and 27554?

Greatest common factor (GCF) of 27540 and 27554 is 2.

GCF(27540,27554) = 2

We will now calculate the prime factors of 27540 and 27554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27540 and 27554.

How to find the GCF of 27540 and 27554?

We will first find the prime factorization of 27540 and 27554. After we will calculate the factors of 27540 and 27554 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 27554

Prime factors of 27554 are 2, 23, 599. Prime factorization of 27554 in exponential form is:

27554 = 2¹ × 23¹ × 599¹

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 27554

List of positive integer factors of 27554 that divides 27540 without a remainder.

1, 2, 23, 46, 599, 1198, 13777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27540 and 27554. The biggest common factor number is the GCF number.
So the greatest common factor 27540 and 27554 is 2.

Also check out the Least Common Multiple of 27540 and 27554