What is the Greatest Common Factor of 20203 and 20222?

Greatest common factor (GCF) of 20203 and 20222 is 1.

GCF(20203,20222) = 1

We will now calculate the prime factors of 20203 and 20222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20203 and 20222.

How to find the GCF of 20203 and 20222?

We will first find the prime factorization of 20203 and 20222. After we will calculate the factors of 20203 and 20222 and find the biggest common factor number .

Step-1: Prime Factorization of 20203

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

20203 = 89¹ × 227¹

Step-2: Prime Factorization of 20222

Prime factors of 20222 are 2, 10111. Prime factorization of 20222 in exponential form is:

20222 = 2¹ × 10111¹

Step-3: Factors of 20203

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

1, 89, 227

Step-4: Factors of 20222

List of positive integer factors of 20222 that divides 20203 without a remainder.

1, 2, 10111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20203 and 20222. The biggest common factor number is the GCF number.
So the greatest common factor 20203 and 20222 is 1.

Also check out the Least Common Multiple of 20203 and 20222