What is the Greatest Common Factor of 18864 and 18875?

Greatest common factor (GCF) of 18864 and 18875 is 1.

GCF(18864,18875) = 1

We will now calculate the prime factors of 18864 and 18875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18864 and 18875.

How to find the GCF of 18864 and 18875?

We will first find the prime factorization of 18864 and 18875. After we will calculate the factors of 18864 and 18875 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 18875

Prime factors of 18875 are 5, 151. Prime factorization of 18875 in exponential form is:

18875 = 5³ × 151¹

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 18875

List of positive integer factors of 18875 that divides 18864 without a remainder.

1, 5, 25, 125, 151, 755, 3775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18864 and 18875. The biggest common factor number is the GCF number.
So the greatest common factor 18864 and 18875 is 1.

Also check out the Least Common Multiple of 18864 and 18875