What is the Greatest Common Factor of 15872 and 15891?

Greatest common factor (GCF) of 15872 and 15891 is 1.

GCF(15872,15891) = 1

We will now calculate the prime factors of 15872 and 15891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15872 and 15891.

How to find the GCF of 15872 and 15891?

We will first find the prime factorization of 15872 and 15891. After we will calculate the factors of 15872 and 15891 and find the biggest common factor number .

Step-1: Prime Factorization of 15872

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

15872 = 2⁹ × 31¹

Step-2: Prime Factorization of 15891

Prime factors of 15891 are 3, 5297. Prime factorization of 15891 in exponential form is:

15891 = 3¹ × 5297¹

Step-3: Factors of 15872

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

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

Step-4: Factors of 15891

List of positive integer factors of 15891 that divides 15872 without a remainder.

1, 3, 5297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15872 and 15891. The biggest common factor number is the GCF number.
So the greatest common factor 15872 and 15891 is 1.

Also check out the Least Common Multiple of 15872 and 15891