What is the Greatest Common Factor of 27522 and 27540?

Greatest common factor (GCF) of 27522 and 27540 is 18.

GCF(27522,27540) = 18

We will now calculate the prime factors of 27522 and 27540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27522 and 27540.

How to find the GCF of 27522 and 27540?

We will first find the prime factorization of 27522 and 27540. After we will calculate the factors of 27522 and 27540 and find the biggest common factor number .

Step-1: Prime Factorization of 27522

Prime factors of 27522 are 2, 3, 11, 139. Prime factorization of 27522 in exponential form is:

27522 = 2¹ × 3² × 11¹ × 139¹

Step-2: 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-3: Factors of 27522

List of positive integer factors of 27522 that divides 27522 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 139, 198, 278, 417, 834, 1251, 1529, 2502, 3058, 4587, 9174, 13761

Step-4: Factors of 27540

List of positive integer factors of 27540 that divides 27522 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27522 and 27540. The biggest common factor number is the GCF number.
So the greatest common factor 27522 and 27540 is 18.

Also check out the Least Common Multiple of 27522 and 27540