What is the Greatest Common Factor of 15806 and 15822?

Greatest common factor (GCF) of 15806 and 15822 is 2.

GCF(15806,15822) = 2

We will now calculate the prime factors of 15806 and 15822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15806 and 15822.

How to find the GCF of 15806 and 15822?

We will first find the prime factorization of 15806 and 15822. After we will calculate the factors of 15806 and 15822 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15822

Prime factors of 15822 are 2, 3, 293. Prime factorization of 15822 in exponential form is:

15822 = 2¹ × 3³ × 293¹

Step-3: Factors of 15806

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

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

Step-4: Factors of 15822

List of positive integer factors of 15822 that divides 15806 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 293, 586, 879, 1758, 2637, 5274, 7911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15806 and 15822. The biggest common factor number is the GCF number.
So the greatest common factor 15806 and 15822 is 2.

Also check out the Least Common Multiple of 15806 and 15822