What is the Greatest Common Factor of 15789 and 15806?

Greatest common factor (GCF) of 15789 and 15806 is 1.

GCF(15789,15806) = 1

We will now calculate the prime factors of 15789 and 15806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15789 and 15806.

How to find the GCF of 15789 and 15806?

We will first find the prime factorization of 15789 and 15806. After we will calculate the factors of 15789 and 15806 and find the biggest common factor number .

Step-1: Prime Factorization of 15789

Prime factors of 15789 are 3, 19, 277. Prime factorization of 15789 in exponential form is:

15789 = 3¹ × 19¹ × 277¹

Step-2: Prime Factorization of 15806

Prime factors of 15806 are 2, 7, 1129. Prime factorization of 15806 in exponential form is:

15806 = 2¹ × 7¹ × 1129¹

Step-3: Factors of 15789

List of positive integer factors of 15789 that divides 15789 without a remainder.

1, 3, 19, 57, 277, 831, 5263

Step-4: Factors of 15806

List of positive integer factors of 15806 that divides 15789 without a remainder.

1, 2, 7, 14, 1129, 2258, 7903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15789 and 15806. The biggest common factor number is the GCF number.
So the greatest common factor 15789 and 15806 is 1.

Also check out the Least Common Multiple of 15789 and 15806