What is the Greatest Common Factor of 15884 and 15903?

Greatest common factor (GCF) of 15884 and 15903 is 19.

GCF(15884,15903) = 19

We will now calculate the prime factors of 15884 and 15903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15884 and 15903.

How to find the GCF of 15884 and 15903?

We will first find the prime factorization of 15884 and 15903. After we will calculate the factors of 15884 and 15903 and find the biggest common factor number .

Step-1: Prime Factorization of 15884

Prime factors of 15884 are 2, 11, 19. Prime factorization of 15884 in exponential form is:

15884 = 2² × 11¹ × 19²

Step-2: Prime Factorization of 15903

Prime factors of 15903 are 3, 19, 31. Prime factorization of 15903 in exponential form is:

15903 = 3³ × 19¹ × 31¹

Step-3: Factors of 15884

List of positive integer factors of 15884 that divides 15884 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 361, 418, 722, 836, 1444, 3971, 7942

Step-4: Factors of 15903

List of positive integer factors of 15903 that divides 15884 without a remainder.

1, 3, 9, 19, 27, 31, 57, 93, 171, 279, 513, 589, 837, 1767, 5301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15884 and 15903. The biggest common factor number is the GCF number.
So the greatest common factor 15884 and 15903 is 19.

Also check out the Least Common Multiple of 15884 and 15903