What is the Greatest Common Factor of 15876 and 15887?

Greatest common factor (GCF) of 15876 and 15887 is 1.

GCF(15876,15887) = 1

We will now calculate the prime factors of 15876 and 15887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15876 and 15887.

How to find the GCF of 15876 and 15887?

We will first find the prime factorization of 15876 and 15887. After we will calculate the factors of 15876 and 15887 and find the biggest common factor number .

Step-1: Prime Factorization of 15876

Prime factors of 15876 are 2, 3, 7. Prime factorization of 15876 in exponential form is:

15876 = 2² × 3⁴ × 7²

Step-2: Prime Factorization of 15887

Prime factors of 15887 are 15887. Prime factorization of 15887 in exponential form is:

15887 = 15887¹

Step-3: Factors of 15876

List of positive integer factors of 15876 that divides 15876 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 81, 84, 98, 108, 126, 147, 162, 189, 196, 252, 294, 324, 378, 441, 567, 588, 756, 882, 1134, 1323, 1764, 2268, 2646, 3969, 5292, 7938

Step-4: Factors of 15887

List of positive integer factors of 15887 that divides 15876 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15876 and 15887. The biggest common factor number is the GCF number.
So the greatest common factor 15876 and 15887 is 1.

Also check out the Least Common Multiple of 15876 and 15887