What is the Greatest Common Factor of 26994 and 27009?

Greatest common factor (GCF) of 26994 and 27009 is 3.

GCF(26994,27009) = 3

We will now calculate the prime factors of 26994 and 27009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26994 and 27009.

How to find the GCF of 26994 and 27009?

We will first find the prime factorization of 26994 and 27009. After we will calculate the factors of 26994 and 27009 and find the biggest common factor number .

Step-1: Prime Factorization of 26994

Prime factors of 26994 are 2, 3, 11, 409. Prime factorization of 26994 in exponential form is:

26994 = 2¹ × 3¹ × 11¹ × 409¹

Step-2: Prime Factorization of 27009

Prime factors of 27009 are 3, 3001. Prime factorization of 27009 in exponential form is:

27009 = 3² × 3001¹

Step-3: Factors of 26994

List of positive integer factors of 26994 that divides 26994 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 409, 818, 1227, 2454, 4499, 8998, 13497

Step-4: Factors of 27009

List of positive integer factors of 27009 that divides 26994 without a remainder.

1, 3, 9, 3001, 9003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26994 and 27009. The biggest common factor number is the GCF number.
So the greatest common factor 26994 and 27009 is 3.

Also check out the Least Common Multiple of 26994 and 27009