What is the Greatest Common Factor of 15876 and 15890?

Greatest common factor (GCF) of 15876 and 15890 is 14.

GCF(15876,15890) = 14

We will now calculate the prime factors of 15876 and 15890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15876 and 15890.

How to find the GCF of 15876 and 15890?

We will first find the prime factorization of 15876 and 15890. After we will calculate the factors of 15876 and 15890 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 15890

Prime factors of 15890 are 2, 5, 7, 227. Prime factorization of 15890 in exponential form is:

15890 = 2¹ × 5¹ × 7¹ × 227¹

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 15890

List of positive integer factors of 15890 that divides 15876 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 227, 454, 1135, 1589, 2270, 3178, 7945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15876 and 15890. The biggest common factor number is the GCF number.
So the greatest common factor 15876 and 15890 is 14.

Also check out the Least Common Multiple of 15876 and 15890