What is the Greatest Common Factor of 15873 and 15884?

Greatest common factor (GCF) of 15873 and 15884 is 11.

GCF(15873,15884) = 11

We will now calculate the prime factors of 15873 and 15884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15873 and 15884.

How to find the GCF of 15873 and 15884?

We will first find the prime factorization of 15873 and 15884. After we will calculate the factors of 15873 and 15884 and find the biggest common factor number .

Step-1: Prime Factorization of 15873

Prime factors of 15873 are 3, 11, 13, 37. Prime factorization of 15873 in exponential form is:

15873 = 3¹ × 11¹ × 13¹ × 37¹

Step-2: 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-3: Factors of 15873

List of positive integer factors of 15873 that divides 15873 without a remainder.

1, 3, 11, 13, 33, 37, 39, 111, 143, 407, 429, 481, 1221, 1443, 5291

Step-4: Factors of 15884

List of positive integer factors of 15884 that divides 15873 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15873 and 15884. The biggest common factor number is the GCF number.
So the greatest common factor 15873 and 15884 is 11.

Also check out the Least Common Multiple of 15873 and 15884