What is the Greatest Common Factor of 21800 and 21817?

Greatest common factor (GCF) of 21800 and 21817 is 1.

GCF(21800,21817) = 1

We will now calculate the prime factors of 21800 and 21817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21800 and 21817.

How to find the GCF of 21800 and 21817?

We will first find the prime factorization of 21800 and 21817. After we will calculate the factors of 21800 and 21817 and find the biggest common factor number .

Step-1: Prime Factorization of 21800

Prime factors of 21800 are 2, 5, 109. Prime factorization of 21800 in exponential form is:

21800 = 2³ × 5² × 109¹

Step-2: Prime Factorization of 21817

Prime factors of 21817 are 21817. Prime factorization of 21817 in exponential form is:

21817 = 21817¹

Step-3: Factors of 21800

List of positive integer factors of 21800 that divides 21800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 109, 200, 218, 436, 545, 872, 1090, 2180, 2725, 4360, 5450, 10900

Step-4: Factors of 21817

List of positive integer factors of 21817 that divides 21800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21800 and 21817. The biggest common factor number is the GCF number.
So the greatest common factor 21800 and 21817 is 1.

Also check out the Least Common Multiple of 21800 and 21817