What is the Greatest Common Factor of 27069 and 27081?

Greatest common factor (GCF) of 27069 and 27081 is 3.

GCF(27069,27081) = 3

We will now calculate the prime factors of 27069 and 27081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27069 and 27081.

How to find the GCF of 27069 and 27081?

We will first find the prime factorization of 27069 and 27081. After we will calculate the factors of 27069 and 27081 and find the biggest common factor number .

Step-1: Prime Factorization of 27069

Prime factors of 27069 are 3, 7, 1289. Prime factorization of 27069 in exponential form is:

27069 = 3¹ × 7¹ × 1289¹

Step-2: Prime Factorization of 27081

Prime factors of 27081 are 3, 17, 59. Prime factorization of 27081 in exponential form is:

27081 = 3³ × 17¹ × 59¹

Step-3: Factors of 27069

List of positive integer factors of 27069 that divides 27069 without a remainder.

1, 3, 7, 21, 1289, 3867, 9023

Step-4: Factors of 27081

List of positive integer factors of 27081 that divides 27069 without a remainder.

1, 3, 9, 17, 27, 51, 59, 153, 177, 459, 531, 1003, 1593, 3009, 9027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27069 and 27081. The biggest common factor number is the GCF number.
So the greatest common factor 27069 and 27081 is 3.

Also check out the Least Common Multiple of 27069 and 27081