What is the Greatest Common Factor of 18441 and 18447?

Greatest common factor (GCF) of 18441 and 18447 is 3.

GCF(18441,18447) = 3

We will now calculate the prime factors of 18441 and 18447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18441 and 18447.

How to find the GCF of 18441 and 18447?

We will first find the prime factorization of 18441 and 18447. After we will calculate the factors of 18441 and 18447 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 18447

Prime factors of 18447 are 3, 11, 13, 43. Prime factorization of 18447 in exponential form is:

18447 = 3¹ × 11¹ × 13¹ × 43¹

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 18447

List of positive integer factors of 18447 that divides 18441 without a remainder.

1, 3, 11, 13, 33, 39, 43, 129, 143, 429, 473, 559, 1419, 1677, 6149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18441 and 18447. The biggest common factor number is the GCF number.
So the greatest common factor 18441 and 18447 is 3.

Also check out the Least Common Multiple of 18441 and 18447