What is the Greatest Common Factor of 19999 and 20008?

Greatest common factor (GCF) of 19999 and 20008 is 1.

GCF(19999,20008) = 1

We will now calculate the prime factors of 19999 and 20008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19999 and 20008.

How to find the GCF of 19999 and 20008?

We will first find the prime factorization of 19999 and 20008. After we will calculate the factors of 19999 and 20008 and find the biggest common factor number .

Step-1: Prime Factorization of 19999

Prime factors of 19999 are 7, 2857. Prime factorization of 19999 in exponential form is:

19999 = 7¹ × 2857¹

Step-2: Prime Factorization of 20008

Prime factors of 20008 are 2, 41, 61. Prime factorization of 20008 in exponential form is:

20008 = 2³ × 41¹ × 61¹

Step-3: Factors of 19999

List of positive integer factors of 19999 that divides 19999 without a remainder.

1, 7, 2857

Step-4: Factors of 20008

List of positive integer factors of 20008 that divides 19999 without a remainder.

1, 2, 4, 8, 41, 61, 82, 122, 164, 244, 328, 488, 2501, 5002, 10004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19999 and 20008. The biggest common factor number is the GCF number.
So the greatest common factor 19999 and 20008 is 1.

Also check out the Least Common Multiple of 19999 and 20008