What is the Greatest Common Factor of 15846 and 15865?

Greatest common factor (GCF) of 15846 and 15865 is 19.

GCF(15846,15865) = 19

We will now calculate the prime factors of 15846 and 15865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15846 and 15865.

How to find the GCF of 15846 and 15865?

We will first find the prime factorization of 15846 and 15865. After we will calculate the factors of 15846 and 15865 and find the biggest common factor number .

Step-1: Prime Factorization of 15846

Prime factors of 15846 are 2, 3, 19, 139. Prime factorization of 15846 in exponential form is:

15846 = 2¹ × 3¹ × 19¹ × 139¹

Step-2: Prime Factorization of 15865

Prime factors of 15865 are 5, 19, 167. Prime factorization of 15865 in exponential form is:

15865 = 5¹ × 19¹ × 167¹

Step-3: Factors of 15846

List of positive integer factors of 15846 that divides 15846 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 139, 278, 417, 834, 2641, 5282, 7923

Step-4: Factors of 15865

List of positive integer factors of 15865 that divides 15846 without a remainder.

1, 5, 19, 95, 167, 835, 3173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15846 and 15865. The biggest common factor number is the GCF number.
So the greatest common factor 15846 and 15865 is 19.

Also check out the Least Common Multiple of 15846 and 15865