What is the Greatest Common Factor of 18441 and 18456?

Greatest common factor (GCF) of 18441 and 18456 is 3.

GCF(18441,18456) = 3

We will now calculate the prime factors of 18441 and 18456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18441 and 18456.

How to find the GCF of 18441 and 18456?

We will first find the prime factorization of 18441 and 18456. After we will calculate the factors of 18441 and 18456 and find the biggest common factor number .

Step-1: Prime Factorization of 18441

Prime factors of 18441 are 3, 683. Prime factorization of 18441 in exponential form is:

18441 = 3³ × 683¹

Step-2: Prime Factorization of 18456

Prime factors of 18456 are 2, 3, 769. Prime factorization of 18456 in exponential form is:

18456 = 2³ × 3¹ × 769¹

Step-3: Factors of 18441

List of positive integer factors of 18441 that divides 18441 without a remainder.

1, 3, 9, 27, 683, 2049, 6147

Step-4: Factors of 18456

List of positive integer factors of 18456 that divides 18441 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 769, 1538, 2307, 3076, 4614, 6152, 9228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18441 and 18456. The biggest common factor number is the GCF number.
So the greatest common factor 18441 and 18456 is 3.

Also check out the Least Common Multiple of 18441 and 18456