What is the Greatest Common Factor of 18405 and 18423?

Greatest common factor (GCF) of 18405 and 18423 is 9.

GCF(18405,18423) = 9

We will now calculate the prime factors of 18405 and 18423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18405 and 18423.

How to find the GCF of 18405 and 18423?

We will first find the prime factorization of 18405 and 18423. After we will calculate the factors of 18405 and 18423 and find the biggest common factor number .

Step-1: Prime Factorization of 18405

Prime factors of 18405 are 3, 5, 409. Prime factorization of 18405 in exponential form is:

18405 = 3² × 5¹ × 409¹

Step-2: Prime Factorization of 18423

Prime factors of 18423 are 3, 23, 89. Prime factorization of 18423 in exponential form is:

18423 = 3² × 23¹ × 89¹

Step-3: Factors of 18405

List of positive integer factors of 18405 that divides 18405 without a remainder.

1, 3, 5, 9, 15, 45, 409, 1227, 2045, 3681, 6135

Step-4: Factors of 18423

List of positive integer factors of 18423 that divides 18405 without a remainder.

1, 3, 9, 23, 69, 89, 207, 267, 801, 2047, 6141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18405 and 18423. The biggest common factor number is the GCF number.
So the greatest common factor 18405 and 18423 is 9.

Also check out the Least Common Multiple of 18405 and 18423