What is the Greatest Common Factor of 18045 and 18063?

Greatest common factor (GCF) of 18045 and 18063 is 9.

GCF(18045,18063) = 9

We will now calculate the prime factors of 18045 and 18063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18045 and 18063.

How to find the GCF of 18045 and 18063?

We will first find the prime factorization of 18045 and 18063. After we will calculate the factors of 18045 and 18063 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18063

Prime factors of 18063 are 3, 223. Prime factorization of 18063 in exponential form is:

18063 = 3⁴ × 223¹

Step-3: Factors of 18045

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

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

Step-4: Factors of 18063

List of positive integer factors of 18063 that divides 18045 without a remainder.

1, 3, 9, 27, 81, 223, 669, 2007, 6021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18045 and 18063. The biggest common factor number is the GCF number.
So the greatest common factor 18045 and 18063 is 9.

Also check out the Least Common Multiple of 18045 and 18063