What is the Greatest Common Factor of 18177 and 18189?

Greatest common factor (GCF) of 18177 and 18189 is 3.

GCF(18177,18189) = 3

We will now calculate the prime factors of 18177 and 18189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18177 and 18189.

How to find the GCF of 18177 and 18189?

We will first find the prime factorization of 18177 and 18189. After we will calculate the factors of 18177 and 18189 and find the biggest common factor number .

Step-1: Prime Factorization of 18177

Prime factors of 18177 are 3, 73, 83. Prime factorization of 18177 in exponential form is:

18177 = 3¹ × 73¹ × 83¹

Step-2: Prime Factorization of 18189

Prime factors of 18189 are 3, 43, 47. Prime factorization of 18189 in exponential form is:

18189 = 3² × 43¹ × 47¹

Step-3: Factors of 18177

List of positive integer factors of 18177 that divides 18177 without a remainder.

1, 3, 73, 83, 219, 249, 6059

Step-4: Factors of 18189

List of positive integer factors of 18189 that divides 18177 without a remainder.

1, 3, 9, 43, 47, 129, 141, 387, 423, 2021, 6063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18177 and 18189. The biggest common factor number is the GCF number.
So the greatest common factor 18177 and 18189 is 3.

Also check out the Least Common Multiple of 18177 and 18189