What is the Greatest Common Factor of 20188 and 20203?

Greatest common factor (GCF) of 20188 and 20203 is 1.

GCF(20188,20203) = 1

We will now calculate the prime factors of 20188 and 20203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20188 and 20203.

How to find the GCF of 20188 and 20203?

We will first find the prime factorization of 20188 and 20203. After we will calculate the factors of 20188 and 20203 and find the biggest common factor number .

Step-1: Prime Factorization of 20188

Prime factors of 20188 are 2, 7, 103. Prime factorization of 20188 in exponential form is:

20188 = 2² × 7² × 103¹

Step-2: Prime Factorization of 20203

Prime factors of 20203 are 89, 227. Prime factorization of 20203 in exponential form is:

20203 = 89¹ × 227¹

Step-3: Factors of 20188

List of positive integer factors of 20188 that divides 20188 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 103, 196, 206, 412, 721, 1442, 2884, 5047, 10094

Step-4: Factors of 20203

List of positive integer factors of 20203 that divides 20188 without a remainder.

1, 89, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20188 and 20203. The biggest common factor number is the GCF number.
So the greatest common factor 20188 and 20203 is 1.

Also check out the Least Common Multiple of 20188 and 20203