What is the Greatest Common Factor of 18005 and 18023?

Greatest common factor (GCF) of 18005 and 18023 is 1.

GCF(18005,18023) = 1

We will now calculate the prime factors of 18005 and 18023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18005 and 18023.

How to find the GCF of 18005 and 18023?

We will first find the prime factorization of 18005 and 18023. After we will calculate the factors of 18005 and 18023 and find the biggest common factor number .

Step-1: Prime Factorization of 18005

Prime factors of 18005 are 5, 13, 277. Prime factorization of 18005 in exponential form is:

18005 = 5¹ × 13¹ × 277¹

Step-2: Prime Factorization of 18023

Prime factors of 18023 are 67, 269. Prime factorization of 18023 in exponential form is:

18023 = 67¹ × 269¹

Step-3: Factors of 18005

List of positive integer factors of 18005 that divides 18005 without a remainder.

1, 5, 13, 65, 277, 1385, 3601

Step-4: Factors of 18023

List of positive integer factors of 18023 that divides 18005 without a remainder.

1, 67, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18005 and 18023. The biggest common factor number is the GCF number.
So the greatest common factor 18005 and 18023 is 1.

Also check out the Least Common Multiple of 18005 and 18023