What is the Greatest Common Factor of 15903 and 15922?

Greatest common factor (GCF) of 15903 and 15922 is 19.

GCF(15903,15922) = 19

We will now calculate the prime factors of 15903 and 15922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15903 and 15922.

How to find the GCF of 15903 and 15922?

We will first find the prime factorization of 15903 and 15922. After we will calculate the factors of 15903 and 15922 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15922

Prime factors of 15922 are 2, 19, 419. Prime factorization of 15922 in exponential form is:

15922 = 2¹ × 19¹ × 419¹

Step-3: Factors of 15903

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

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

Step-4: Factors of 15922

List of positive integer factors of 15922 that divides 15903 without a remainder.

1, 2, 19, 38, 419, 838, 7961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15903 and 15922. The biggest common factor number is the GCF number.
So the greatest common factor 15903 and 15922 is 19.

Also check out the Least Common Multiple of 15903 and 15922