What is the Greatest Common Factor of 26997 and 27012?

Greatest common factor (GCF) of 26997 and 27012 is 3.

GCF(26997,27012) = 3

We will now calculate the prime factors of 26997 and 27012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26997 and 27012.

How to find the GCF of 26997 and 27012?

We will first find the prime factorization of 26997 and 27012. After we will calculate the factors of 26997 and 27012 and find the biggest common factor number .

Step-1: Prime Factorization of 26997

Prime factors of 26997 are 3, 8999. Prime factorization of 26997 in exponential form is:

26997 = 3¹ × 8999¹

Step-2: Prime Factorization of 27012

Prime factors of 27012 are 2, 3, 2251. Prime factorization of 27012 in exponential form is:

27012 = 2² × 3¹ × 2251¹

Step-3: Factors of 26997

List of positive integer factors of 26997 that divides 26997 without a remainder.

1, 3, 8999

Step-4: Factors of 27012

List of positive integer factors of 27012 that divides 26997 without a remainder.

1, 2, 3, 4, 6, 12, 2251, 4502, 6753, 9004, 13506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26997 and 27012. The biggest common factor number is the GCF number.
So the greatest common factor 26997 and 27012 is 3.

Also check out the Least Common Multiple of 26997 and 27012