What is the Greatest Common Factor of 18003 and 18023?

Greatest common factor (GCF) of 18003 and 18023 is 1.

GCF(18003,18023) = 1

We will now calculate the prime factors of 18003 and 18023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18003 and 18023.

How to find the GCF of 18003 and 18023?

We will first find the prime factorization of 18003 and 18023. After we will calculate the factors of 18003 and 18023 and find the biggest common factor number .

Step-1: Prime Factorization of 18003

Prime factors of 18003 are 3, 17, 353. Prime factorization of 18003 in exponential form is:

18003 = 3¹ × 17¹ × 353¹

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 18003

List of positive integer factors of 18003 that divides 18003 without a remainder.

1, 3, 17, 51, 353, 1059, 6001

Step-4: Factors of 18023

List of positive integer factors of 18023 that divides 18003 without a remainder.

1, 67, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18003 and 18023. The biggest common factor number is the GCF number.
So the greatest common factor 18003 and 18023 is 1.

Also check out the Least Common Multiple of 18003 and 18023