What is the Greatest Common Factor of 8011 and 8027?

Greatest common factor (GCF) of 8011 and 8027 is 1.

GCF(8011,8027) = 1

We will now calculate the prime factors of 8011 and 8027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8011 and 8027.

How to find the GCF of 8011 and 8027?

We will first find the prime factorization of 8011 and 8027. After we will calculate the factors of 8011 and 8027 and find the biggest common factor number .

Step-1: Prime Factorization of 8011

Prime factors of 8011 are 8011. Prime factorization of 8011 in exponential form is:

8011 = 8011¹

Step-2: Prime Factorization of 8027

Prime factors of 8027 are 23, 349. Prime factorization of 8027 in exponential form is:

8027 = 23¹ × 349¹

Step-3: Factors of 8011

List of positive integer factors of 8011 that divides 8011 without a remainder.

Step-4: Factors of 8027

List of positive integer factors of 8027 that divides 8011 without a remainder.

1, 23, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8011 and 8027. The biggest common factor number is the GCF number.
So the greatest common factor 8011 and 8027 is 1.

Also check out the Least Common Multiple of 8011 and 8027