What is the Greatest Common Factor of 20200 and 20204?

Greatest common factor (GCF) of 20200 and 20204 is 4.

GCF(20200,20204) = 4

We will now calculate the prime factors of 20200 and 20204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20200 and 20204.

How to find the GCF of 20200 and 20204?

We will first find the prime factorization of 20200 and 20204. After we will calculate the factors of 20200 and 20204 and find the biggest common factor number .

Step-1: Prime Factorization of 20200

Prime factors of 20200 are 2, 5, 101. Prime factorization of 20200 in exponential form is:

20200 = 2³ × 5² × 101¹

Step-2: Prime Factorization of 20204

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

20204 = 2² × 5051¹

Step-3: Factors of 20200

List of positive integer factors of 20200 that divides 20200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 101, 200, 202, 404, 505, 808, 1010, 2020, 2525, 4040, 5050, 10100

Step-4: Factors of 20204

List of positive integer factors of 20204 that divides 20200 without a remainder.

1, 2, 4, 5051, 10102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20200 and 20204. The biggest common factor number is the GCF number.
So the greatest common factor 20200 and 20204 is 4.

Also check out the Least Common Multiple of 20200 and 20204