What is the Greatest Common Factor of 8004 and 8011?

Greatest common factor (GCF) of 8004 and 8011 is 1.

GCF(8004,8011) = 1

We will now calculate the prime factors of 8004 and 8011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8004 and 8011.

How to find the GCF of 8004 and 8011?

We will first find the prime factorization of 8004 and 8011. After we will calculate the factors of 8004 and 8011 and find the biggest common factor number .

Step-1: Prime Factorization of 8004

Prime factors of 8004 are 2, 3, 23, 29. Prime factorization of 8004 in exponential form is:

8004 = 2² × 3¹ × 23¹ × 29¹

Step-2: Prime Factorization of 8011

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

8011 = 8011¹

Step-3: Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002

Step-4: Factors of 8011

List of positive integer factors of 8011 that divides 8004 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8004 and 8011. The biggest common factor number is the GCF number.
So the greatest common factor 8004 and 8011 is 1.

Also check out the Least Common Multiple of 8004 and 8011