What is the Greatest Common Factor of 27540 and 27546?

Greatest common factor (GCF) of 27540 and 27546 is 6.

GCF(27540,27546) = 6

We will now calculate the prime factors of 27540 and 27546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27540 and 27546.

How to find the GCF of 27540 and 27546?

We will first find the prime factorization of 27540 and 27546. After we will calculate the factors of 27540 and 27546 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 27546

Prime factors of 27546 are 2, 3, 4591. Prime factorization of 27546 in exponential form is:

27546 = 2¹ × 3¹ × 4591¹

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 27546

List of positive integer factors of 27546 that divides 27540 without a remainder.

1, 2, 3, 6, 4591, 9182, 13773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27540 and 27546. The biggest common factor number is the GCF number.
So the greatest common factor 27540 and 27546 is 6.

Also check out the Least Common Multiple of 27540 and 27546