What is the Greatest Common Factor of 20200 and 20220?

Greatest common factor (GCF) of 20200 and 20220 is 20.

GCF(20200,20220) = 20

We will now calculate the prime factors of 20200 and 20220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20200 and 20220.

How to find the GCF of 20200 and 20220?

We will first find the prime factorization of 20200 and 20220. After we will calculate the factors of 20200 and 20220 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 20220

Prime factors of 20220 are 2, 3, 5, 337. Prime factorization of 20220 in exponential form is:

20220 = 2² × 3¹ × 5¹ × 337¹

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 20220

List of positive integer factors of 20220 that divides 20200 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 337, 674, 1011, 1348, 1685, 2022, 3370, 4044, 5055, 6740, 10110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20200 and 20220. The biggest common factor number is the GCF number.
So the greatest common factor 20200 and 20220 is 20.

Also check out the Least Common Multiple of 20200 and 20220