What is the Greatest Common Factor of 15909 and 15928?

Greatest common factor (GCF) of 15909 and 15928 is 1.

GCF(15909,15928) = 1

We will now calculate the prime factors of 15909 and 15928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15909 and 15928.

How to find the GCF of 15909 and 15928?

We will first find the prime factorization of 15909 and 15928. After we will calculate the factors of 15909 and 15928 and find the biggest common factor number .

Step-1: Prime Factorization of 15909

Prime factors of 15909 are 3, 5303. Prime factorization of 15909 in exponential form is:

15909 = 3¹ × 5303¹

Step-2: Prime Factorization of 15928

Prime factors of 15928 are 2, 11, 181. Prime factorization of 15928 in exponential form is:

15928 = 2³ × 11¹ × 181¹

Step-3: Factors of 15909

List of positive integer factors of 15909 that divides 15909 without a remainder.

1, 3, 5303

Step-4: Factors of 15928

List of positive integer factors of 15928 that divides 15909 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 181, 362, 724, 1448, 1991, 3982, 7964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15909 and 15928. The biggest common factor number is the GCF number.
So the greatest common factor 15909 and 15928 is 1.

Also check out the Least Common Multiple of 15909 and 15928