What is the Greatest Common Factor of 20099 and 20109?

Greatest common factor (GCF) of 20099 and 20109 is 1.

GCF(20099,20109) = 1

We will now calculate the prime factors of 20099 and 20109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20099 and 20109.

How to find the GCF of 20099 and 20109?

We will first find the prime factorization of 20099 and 20109. After we will calculate the factors of 20099 and 20109 and find the biggest common factor number .

Step-1: Prime Factorization of 20099

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

20099 = 101¹ × 199¹

Step-2: Prime Factorization of 20109

Prime factors of 20109 are 3, 6703. Prime factorization of 20109 in exponential form is:

20109 = 3¹ × 6703¹

Step-3: Factors of 20099

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

1, 101, 199

Step-4: Factors of 20109

List of positive integer factors of 20109 that divides 20099 without a remainder.

1, 3, 6703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20099 and 20109. The biggest common factor number is the GCF number.
So the greatest common factor 20099 and 20109 is 1.

Also check out the Least Common Multiple of 20099 and 20109