What is the Greatest Common Factor of 18864 and 18871?

Greatest common factor (GCF) of 18864 and 18871 is 1.

GCF(18864,18871) = 1

We will now calculate the prime factors of 18864 and 18871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18864 and 18871.

How to find the GCF of 18864 and 18871?

We will first find the prime factorization of 18864 and 18871. After we will calculate the factors of 18864 and 18871 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 18871

Prime factors of 18871 are 113, 167. Prime factorization of 18871 in exponential form is:

18871 = 113¹ × 167¹

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 18871

List of positive integer factors of 18871 that divides 18864 without a remainder.

1, 113, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18864 and 18871. The biggest common factor number is the GCF number.
So the greatest common factor 18864 and 18871 is 1.

Also check out the Least Common Multiple of 18864 and 18871