What is the Greatest Common Factor of 15867 and 15872?

Greatest common factor (GCF) of 15867 and 15872 is 1.

GCF(15867,15872) = 1

We will now calculate the prime factors of 15867 and 15872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15867 and 15872.

How to find the GCF of 15867 and 15872?

We will first find the prime factorization of 15867 and 15872. After we will calculate the factors of 15867 and 15872 and find the biggest common factor number .

Step-1: Prime Factorization of 15867

Prime factors of 15867 are 3, 41, 43. Prime factorization of 15867 in exponential form is:

15867 = 3² × 41¹ × 43¹

Step-2: Prime Factorization of 15872

Prime factors of 15872 are 2, 31. Prime factorization of 15872 in exponential form is:

15872 = 2⁹ × 31¹

Step-3: Factors of 15867

List of positive integer factors of 15867 that divides 15867 without a remainder.

1, 3, 9, 41, 43, 123, 129, 369, 387, 1763, 5289

Step-4: Factors of 15872

List of positive integer factors of 15872 that divides 15867 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 512, 992, 1984, 3968, 7936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15867 and 15872. The biggest common factor number is the GCF number.
So the greatest common factor 15867 and 15872 is 1.

Also check out the Least Common Multiple of 15867 and 15872