What is the Greatest Common Factor of 27027 and 27040?

Greatest common factor (GCF) of 27027 and 27040 is 13.

GCF(27027,27040) = 13

We will now calculate the prime factors of 27027 and 27040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27027 and 27040.

How to find the GCF of 27027 and 27040?

We will first find the prime factorization of 27027 and 27040. After we will calculate the factors of 27027 and 27040 and find the biggest common factor number .

Step-1: Prime Factorization of 27027

Prime factors of 27027 are 3, 7, 11, 13. Prime factorization of 27027 in exponential form is:

27027 = 3³ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 27040

Prime factors of 27040 are 2, 5, 13. Prime factorization of 27040 in exponential form is:

27040 = 2⁵ × 5¹ × 13²

Step-3: Factors of 27027

List of positive integer factors of 27027 that divides 27027 without a remainder.

1, 3, 7, 9, 11, 13, 21, 27, 33, 39, 63, 77, 91, 99, 117, 143, 189, 231, 273, 297, 351, 429, 693, 819, 1001, 1287, 2079, 2457, 3003, 3861, 9009

Step-4: Factors of 27040

List of positive integer factors of 27040 that divides 27027 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 169, 208, 260, 338, 416, 520, 676, 845, 1040, 1352, 1690, 2080, 2704, 3380, 5408, 6760, 13520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27027 and 27040. The biggest common factor number is the GCF number.
So the greatest common factor 27027 and 27040 is 13.

Also check out the Least Common Multiple of 27027 and 27040