What is the Greatest Common Factor of 20189 and 20200?

Greatest common factor (GCF) of 20189 and 20200 is 1.

GCF(20189,20200) = 1

We will now calculate the prime factors of 20189 and 20200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20189 and 20200.

How to find the GCF of 20189 and 20200?

We will first find the prime factorization of 20189 and 20200. After we will calculate the factors of 20189 and 20200 and find the biggest common factor number .

Step-1: Prime Factorization of 20189

Prime factors of 20189 are 13, 1553. Prime factorization of 20189 in exponential form is:

20189 = 13¹ × 1553¹

Step-2: 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-3: Factors of 20189

List of positive integer factors of 20189 that divides 20189 without a remainder.

1, 13, 1553

Step-4: Factors of 20200

List of positive integer factors of 20200 that divides 20189 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20189 and 20200. The biggest common factor number is the GCF number.
So the greatest common factor 20189 and 20200 is 1.

Also check out the Least Common Multiple of 20189 and 20200