What is the Greatest Common Factor of 15916 and 15936?

Greatest common factor (GCF) of 15916 and 15936 is 4.

GCF(15916,15936) = 4

We will now calculate the prime factors of 15916 and 15936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15916 and 15936.

How to find the GCF of 15916 and 15936?

We will first find the prime factorization of 15916 and 15936. After we will calculate the factors of 15916 and 15936 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15936

Prime factors of 15936 are 2, 3, 83. Prime factorization of 15936 in exponential form is:

15936 = 2⁶ × 3¹ × 83¹

Step-3: Factors of 15916

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

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

Step-4: Factors of 15936

List of positive integer factors of 15936 that divides 15916 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 83, 96, 166, 192, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 5312, 7968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15916 and 15936. The biggest common factor number is the GCF number.
So the greatest common factor 15916 and 15936 is 4.

Also check out the Least Common Multiple of 15916 and 15936