What is the Greatest Common Factor of 18864 and 18873?

Greatest common factor (GCF) of 18864 and 18873 is 9.

GCF(18864,18873) = 9

We will now calculate the prime factors of 18864 and 18873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18864 and 18873.

How to find the GCF of 18864 and 18873?

We will first find the prime factorization of 18864 and 18873. After we will calculate the factors of 18864 and 18873 and find the biggest common factor number .

Step-1: Prime Factorization of 18864

Prime factors of 18864 are 2, 3, 131. Prime factorization of 18864 in exponential form is:

18864 = 2⁴ × 3² × 131¹

Step-2: Prime Factorization of 18873

Prime factors of 18873 are 3, 233. Prime factorization of 18873 in exponential form is:

18873 = 3⁴ × 233¹

Step-3: Factors of 18864

List of positive integer factors of 18864 that divides 18864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 131, 144, 262, 393, 524, 786, 1048, 1179, 1572, 2096, 2358, 3144, 4716, 6288, 9432

Step-4: Factors of 18873

List of positive integer factors of 18873 that divides 18864 without a remainder.

1, 3, 9, 27, 81, 233, 699, 2097, 6291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18864 and 18873. The biggest common factor number is the GCF number.
So the greatest common factor 18864 and 18873 is 9.

Also check out the Least Common Multiple of 18864 and 18873