What is the Greatest Common Factor of 15873 and 15883?

Greatest common factor (GCF) of 15873 and 15883 is 1.

GCF(15873,15883) = 1

We will now calculate the prime factors of 15873 and 15883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15873 and 15883.

How to find the GCF of 15873 and 15883?

We will first find the prime factorization of 15873 and 15883. After we will calculate the factors of 15873 and 15883 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 15883

Prime factors of 15883 are 7, 2269. Prime factorization of 15883 in exponential form is:

15883 = 7¹ × 2269¹

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 15883

List of positive integer factors of 15883 that divides 15873 without a remainder.

1, 7, 2269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15873 and 15883. The biggest common factor number is the GCF number.
So the greatest common factor 15873 and 15883 is 1.

Also check out the Least Common Multiple of 15873 and 15883