What is the Greatest Common Factor of 15896 and 15912?

Greatest common factor (GCF) of 15896 and 15912 is 8.

GCF(15896,15912) = 8

We will now calculate the prime factors of 15896 and 15912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15896 and 15912.

How to find the GCF of 15896 and 15912?

We will first find the prime factorization of 15896 and 15912. After we will calculate the factors of 15896 and 15912 and find the biggest common factor number .

Step-1: Prime Factorization of 15896

Prime factors of 15896 are 2, 1987. Prime factorization of 15896 in exponential form is:

15896 = 2³ × 1987¹

Step-2: Prime Factorization of 15912

Prime factors of 15912 are 2, 3, 13, 17. Prime factorization of 15912 in exponential form is:

15912 = 2³ × 3² × 13¹ × 17¹

Step-3: Factors of 15896

List of positive integer factors of 15896 that divides 15896 without a remainder.

1, 2, 4, 8, 1987, 3974, 7948

Step-4: Factors of 15912

List of positive integer factors of 15912 that divides 15896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 17, 18, 24, 26, 34, 36, 39, 51, 52, 68, 72, 78, 102, 104, 117, 136, 153, 156, 204, 221, 234, 306, 312, 408, 442, 468, 612, 663, 884, 936, 1224, 1326, 1768, 1989, 2652, 3978, 5304, 7956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15896 and 15912. The biggest common factor number is the GCF number.
So the greatest common factor 15896 and 15912 is 8.

Also check out the Least Common Multiple of 15896 and 15912