What is the Greatest Common Factor of 20200 and 20210?

Greatest common factor (GCF) of 20200 and 20210 is 10.

GCF(20200,20210) = 10

We will now calculate the prime factors of 20200 and 20210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20200 and 20210.

How to find the GCF of 20200 and 20210?

We will first find the prime factorization of 20200 and 20210. After we will calculate the factors of 20200 and 20210 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 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 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 20210

List of positive integer factors of 20210 that divides 20200 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 20200 and 20210. The biggest common factor number is the GCF number.
So the greatest common factor 20200 and 20210 is 10.

Also check out the Least Common Multiple of 20200 and 20210