What is the Greatest Common Factor of 20204 and 20210?

Greatest common factor (GCF) of 20204 and 20210 is 2.

GCF(20204,20210) = 2

We will now calculate the prime factors of 20204 and 20210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20204 and 20210.

How to find the GCF of 20204 and 20210?

We will first find the prime factorization of 20204 and 20210. After we will calculate the factors of 20204 and 20210 and find the biggest common factor number .

Step-1: Prime Factorization of 20204

Prime factors of 20204 are 2, 5051. Prime factorization of 20204 in exponential form is:

20204 = 2² × 5051¹

Step-2: Prime Factorization of 20210

Prime factors of 20210 are 2, 5, 43, 47. Prime factorization of 20210 in exponential form is:

20210 = 2¹ × 5¹ × 43¹ × 47¹

Step-3: Factors of 20204

List of positive integer factors of 20204 that divides 20204 without a remainder.

1, 2, 4, 5051, 10102

Step-4: Factors of 20210

List of positive integer factors of 20210 that divides 20204 without a remainder.

1, 2, 5, 10, 43, 47, 86, 94, 215, 235, 430, 470, 2021, 4042, 10105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20204 and 20210. The biggest common factor number is the GCF number.
So the greatest common factor 20204 and 20210 is 2.

Also check out the Least Common Multiple of 20204 and 20210