What is the Greatest Common Factor of 19859 and 19873?

Greatest common factor (GCF) of 19859 and 19873 is 7.

GCF(19859,19873) = 7

We will now calculate the prime factors of 19859 and 19873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19859 and 19873.

How to find the GCF of 19859 and 19873?

We will first find the prime factorization of 19859 and 19873. After we will calculate the factors of 19859 and 19873 and find the biggest common factor number .

Step-1: Prime Factorization of 19859

Prime factors of 19859 are 7, 2837. Prime factorization of 19859 in exponential form is:

19859 = 7¹ × 2837¹

Step-2: Prime Factorization of 19873

Prime factors of 19873 are 7, 17, 167. Prime factorization of 19873 in exponential form is:

19873 = 7¹ × 17¹ × 167¹

Step-3: Factors of 19859

List of positive integer factors of 19859 that divides 19859 without a remainder.

1, 7, 2837

Step-4: Factors of 19873

List of positive integer factors of 19873 that divides 19859 without a remainder.

1, 7, 17, 119, 167, 1169, 2839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19859 and 19873. The biggest common factor number is the GCF number.
So the greatest common factor 19859 and 19873 is 7.

Also check out the Least Common Multiple of 19859 and 19873