What is the Greatest Common Factor of 15856 and 15876?

Greatest common factor (GCF) of 15856 and 15876 is 4.

GCF(15856,15876) = 4

We will now calculate the prime factors of 15856 and 15876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15856 and 15876.

How to find the GCF of 15856 and 15876?

We will first find the prime factorization of 15856 and 15876. After we will calculate the factors of 15856 and 15876 and find the biggest common factor number .

Step-1: Prime Factorization of 15856

Prime factors of 15856 are 2, 991. Prime factorization of 15856 in exponential form is:

15856 = 2⁴ × 991¹

Step-2: 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-3: Factors of 15856

List of positive integer factors of 15856 that divides 15856 without a remainder.

1, 2, 4, 8, 16, 991, 1982, 3964, 7928

Step-4: Factors of 15876

List of positive integer factors of 15876 that divides 15856 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15856 and 15876. The biggest common factor number is the GCF number.
So the greatest common factor 15856 and 15876 is 4.

Also check out the Least Common Multiple of 15856 and 15876