What is the Greatest Common Factor of 18864 and 18869?

Greatest common factor (GCF) of 18864 and 18869 is 1.

GCF(18864,18869) = 1

We will now calculate the prime factors of 18864 and 18869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18864 and 18869.

How to find the GCF of 18864 and 18869?

We will first find the prime factorization of 18864 and 18869. After we will calculate the factors of 18864 and 18869 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 18869

Prime factors of 18869 are 18869. Prime factorization of 18869 in exponential form is:

18869 = 18869¹

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 18869

List of positive integer factors of 18869 that divides 18864 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18864 and 18869. The biggest common factor number is the GCF number.
So the greatest common factor 18864 and 18869 is 1.

Also check out the Least Common Multiple of 18864 and 18869