What is the Greatest Common Factor of 18033 and 18045?

Greatest common factor (GCF) of 18033 and 18045 is 3.

GCF(18033,18045) = 3

We will now calculate the prime factors of 18033 and 18045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18033 and 18045.

How to find the GCF of 18033 and 18045?

We will first find the prime factorization of 18033 and 18045. After we will calculate the factors of 18033 and 18045 and find the biggest common factor number .

Step-1: Prime Factorization of 18033

Prime factors of 18033 are 3, 6011. Prime factorization of 18033 in exponential form is:

18033 = 3¹ × 6011¹

Step-2: Prime Factorization of 18045

Prime factors of 18045 are 3, 5, 401. Prime factorization of 18045 in exponential form is:

18045 = 3² × 5¹ × 401¹

Step-3: Factors of 18033

List of positive integer factors of 18033 that divides 18033 without a remainder.

1, 3, 6011

Step-4: Factors of 18045

List of positive integer factors of 18045 that divides 18033 without a remainder.

1, 3, 5, 9, 15, 45, 401, 1203, 2005, 3609, 6015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18033 and 18045. The biggest common factor number is the GCF number.
So the greatest common factor 18033 and 18045 is 3.

Also check out the Least Common Multiple of 18033 and 18045