What is the Greatest Common Factor of 15876 and 15888?

Greatest common factor (GCF) of 15876 and 15888 is 12.

GCF(15876,15888) = 12

We will now calculate the prime factors of 15876 and 15888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15876 and 15888.

How to find the GCF of 15876 and 15888?

We will first find the prime factorization of 15876 and 15888. After we will calculate the factors of 15876 and 15888 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 15888

Prime factors of 15888 are 2, 3, 331. Prime factorization of 15888 in exponential form is:

15888 = 2⁴ × 3¹ × 331¹

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 15888

List of positive integer factors of 15888 that divides 15876 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 331, 662, 993, 1324, 1986, 2648, 3972, 5296, 7944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15876 and 15888. The biggest common factor number is the GCF number.
So the greatest common factor 15876 and 15888 is 12.

Also check out the Least Common Multiple of 15876 and 15888