What is the Greatest Common Factor of 20199 and 20214?

Greatest common factor (GCF) of 20199 and 20214 is 3.

GCF(20199,20214) = 3

We will now calculate the prime factors of 20199 and 20214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20199 and 20214.

How to find the GCF of 20199 and 20214?

We will first find the prime factorization of 20199 and 20214. After we will calculate the factors of 20199 and 20214 and find the biggest common factor number .

Step-1: Prime Factorization of 20199

Prime factors of 20199 are 3, 6733. Prime factorization of 20199 in exponential form is:

20199 = 3¹ × 6733¹

Step-2: Prime Factorization of 20214

Prime factors of 20214 are 2, 3, 1123. Prime factorization of 20214 in exponential form is:

20214 = 2¹ × 3² × 1123¹

Step-3: Factors of 20199

List of positive integer factors of 20199 that divides 20199 without a remainder.

1, 3, 6733

Step-4: Factors of 20214

List of positive integer factors of 20214 that divides 20199 without a remainder.

1, 2, 3, 6, 9, 18, 1123, 2246, 3369, 6738, 10107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20199 and 20214. The biggest common factor number is the GCF number.
So the greatest common factor 20199 and 20214 is 3.

Also check out the Least Common Multiple of 20199 and 20214