What is the Greatest Common Factor of 15876 and 15895?

Greatest common factor (GCF) of 15876 and 15895 is 1.

GCF(15876,15895) = 1

We will now calculate the prime factors of 15876 and 15895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15876 and 15895.

How to find the GCF of 15876 and 15895?

We will first find the prime factorization of 15876 and 15895. After we will calculate the factors of 15876 and 15895 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 15895

Prime factors of 15895 are 5, 11, 17. Prime factorization of 15895 in exponential form is:

15895 = 5¹ × 11¹ × 17²

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 15895

List of positive integer factors of 15895 that divides 15876 without a remainder.

1, 5, 11, 17, 55, 85, 187, 289, 935, 1445, 3179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15876 and 15895. The biggest common factor number is the GCF number.
So the greatest common factor 15876 and 15895 is 1.

Also check out the Least Common Multiple of 15876 and 15895