What is the Greatest Common Factor of 27027 and 27033?

Greatest common factor (GCF) of 27027 and 27033 is 3.

GCF(27027,27033) = 3

We will now calculate the prime factors of 27027 and 27033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27027 and 27033.

How to find the GCF of 27027 and 27033?

We will first find the prime factorization of 27027 and 27033. After we will calculate the factors of 27027 and 27033 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 27033

Prime factors of 27033 are 3, 9011. Prime factorization of 27033 in exponential form is:

27033 = 3¹ × 9011¹

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 27033

List of positive integer factors of 27033 that divides 27027 without a remainder.

1, 3, 9011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27027 and 27033. The biggest common factor number is the GCF number.
So the greatest common factor 27027 and 27033 is 3.

Also check out the Least Common Multiple of 27027 and 27033