What is the Greatest Common Factor of 20200 and 20212?

Greatest common factor (GCF) of 20200 and 20212 is 4.

GCF(20200,20212) = 4

We will now calculate the prime factors of 20200 and 20212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20200 and 20212.

How to find the GCF of 20200 and 20212?

We will first find the prime factorization of 20200 and 20212. After we will calculate the factors of 20200 and 20212 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 20212

Prime factors of 20212 are 2, 31, 163. Prime factorization of 20212 in exponential form is:

20212 = 2² × 31¹ × 163¹

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 20212

List of positive integer factors of 20212 that divides 20200 without a remainder.

1, 2, 4, 31, 62, 124, 163, 326, 652, 5053, 10106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20200 and 20212. The biggest common factor number is the GCF number.
So the greatest common factor 20200 and 20212 is 4.

Also check out the Least Common Multiple of 20200 and 20212