What is the Greatest Common Factor of 15904 and 15916?

Greatest common factor (GCF) of 15904 and 15916 is 4.

GCF(15904,15916) = 4

We will now calculate the prime factors of 15904 and 15916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15904 and 15916.

How to find the GCF of 15904 and 15916?

We will first find the prime factorization of 15904 and 15916. After we will calculate the factors of 15904 and 15916 and find the biggest common factor number .

Step-1: Prime Factorization of 15904

Prime factors of 15904 are 2, 7, 71. Prime factorization of 15904 in exponential form is:

15904 = 2⁵ × 7¹ × 71¹

Step-2: Prime Factorization of 15916

Prime factors of 15916 are 2, 23, 173. Prime factorization of 15916 in exponential form is:

15916 = 2² × 23¹ × 173¹

Step-3: Factors of 15904

List of positive integer factors of 15904 that divides 15904 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 71, 112, 142, 224, 284, 497, 568, 994, 1136, 1988, 2272, 3976, 7952

Step-4: Factors of 15916

List of positive integer factors of 15916 that divides 15904 without a remainder.

1, 2, 4, 23, 46, 92, 173, 346, 692, 3979, 7958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15904 and 15916. The biggest common factor number is the GCF number.
So the greatest common factor 15904 and 15916 is 4.

Also check out the Least Common Multiple of 15904 and 15916