What is the Greatest Common Factor of 15882 and 15891?

Greatest common factor (GCF) of 15882 and 15891 is 3.

GCF(15882,15891) = 3

We will now calculate the prime factors of 15882 and 15891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15882 and 15891.

How to find the GCF of 15882 and 15891?

We will first find the prime factorization of 15882 and 15891. After we will calculate the factors of 15882 and 15891 and find the biggest common factor number .

Step-1: Prime Factorization of 15882

Prime factors of 15882 are 2, 3, 2647. Prime factorization of 15882 in exponential form is:

15882 = 2¹ × 3¹ × 2647¹

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 15882

List of positive integer factors of 15882 that divides 15882 without a remainder.

1, 2, 3, 6, 2647, 5294, 7941

Step-4: Factors of 15891

List of positive integer factors of 15891 that divides 15882 without a remainder.

1, 3, 5297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15882 and 15891. The biggest common factor number is the GCF number.
So the greatest common factor 15882 and 15891 is 3.

Also check out the Least Common Multiple of 15882 and 15891