What is the Greatest Common Factor of 23004 and 23011?

Greatest common factor (GCF) of 23004 and 23011 is 1.

GCF(23004,23011) = 1

We will now calculate the prime factors of 23004 and 23011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23004 and 23011.

How to find the GCF of 23004 and 23011?

We will first find the prime factorization of 23004 and 23011. After we will calculate the factors of 23004 and 23011 and find the biggest common factor number .

Step-1: Prime Factorization of 23004

Prime factors of 23004 are 2, 3, 71. Prime factorization of 23004 in exponential form is:

23004 = 2² × 3⁴ × 71¹

Step-2: Prime Factorization of 23011

Prime factors of 23011 are 23011. Prime factorization of 23011 in exponential form is:

23011 = 23011¹

Step-3: Factors of 23004

List of positive integer factors of 23004 that divides 23004 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 81, 108, 142, 162, 213, 284, 324, 426, 639, 852, 1278, 1917, 2556, 3834, 5751, 7668, 11502

Step-4: Factors of 23011

List of positive integer factors of 23011 that divides 23004 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23004 and 23011. The biggest common factor number is the GCF number.
So the greatest common factor 23004 and 23011 is 1.

Also check out the Least Common Multiple of 23004 and 23011