What is the Greatest Common Factor of 20084 and 20099?

Greatest common factor (GCF) of 20084 and 20099 is 1.

GCF(20084,20099) = 1

We will now calculate the prime factors of 20084 and 20099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20084 and 20099.

How to find the GCF of 20084 and 20099?

We will first find the prime factorization of 20084 and 20099. After we will calculate the factors of 20084 and 20099 and find the biggest common factor number .

Step-1: Prime Factorization of 20084

Prime factors of 20084 are 2, 5021. Prime factorization of 20084 in exponential form is:

20084 = 2² × 5021¹

Step-2: Prime Factorization of 20099

Prime factors of 20099 are 101, 199. Prime factorization of 20099 in exponential form is:

20099 = 101¹ × 199¹

Step-3: Factors of 20084

List of positive integer factors of 20084 that divides 20084 without a remainder.

1, 2, 4, 5021, 10042

Step-4: Factors of 20099

List of positive integer factors of 20099 that divides 20084 without a remainder.

1, 101, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20084 and 20099. The biggest common factor number is the GCF number.
So the greatest common factor 20084 and 20099 is 1.

Also check out the Least Common Multiple of 20084 and 20099