What is the Greatest Common Factor of 27531 and 27540?

Greatest common factor (GCF) of 27531 and 27540 is 9.

GCF(27531,27540) = 9

We will now calculate the prime factors of 27531 and 27540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27531 and 27540.

How to find the GCF of 27531 and 27540?

We will first find the prime factorization of 27531 and 27540. After we will calculate the factors of 27531 and 27540 and find the biggest common factor number .

Step-1: Prime Factorization of 27531

Prime factors of 27531 are 3, 7, 19, 23. Prime factorization of 27531 in exponential form is:

27531 = 3² × 7¹ × 19¹ × 23¹

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 27531

List of positive integer factors of 27531 that divides 27531 without a remainder.

1, 3, 7, 9, 19, 21, 23, 57, 63, 69, 133, 161, 171, 207, 399, 437, 483, 1197, 1311, 1449, 3059, 3933, 9177

Step-4: Factors of 27540

List of positive integer factors of 27540 that divides 27531 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 27531 and 27540. The biggest common factor number is the GCF number.
So the greatest common factor 27531 and 27540 is 9.

Also check out the Least Common Multiple of 27531 and 27540