What is the Greatest Common Factor of 21800 and 21810?

Greatest common factor (GCF) of 21800 and 21810 is 10.

GCF(21800,21810) = 10

We will now calculate the prime factors of 21800 and 21810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21800 and 21810.

How to find the GCF of 21800 and 21810?

We will first find the prime factorization of 21800 and 21810. After we will calculate the factors of 21800 and 21810 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 21810

Prime factors of 21810 are 2, 3, 5, 727. Prime factorization of 21810 in exponential form is:

21810 = 2¹ × 3¹ × 5¹ × 727¹

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 21810

List of positive integer factors of 21810 that divides 21800 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 727, 1454, 2181, 3635, 4362, 7270, 10905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21800 and 21810. The biggest common factor number is the GCF number.
So the greatest common factor 21800 and 21810 is 10.

Also check out the Least Common Multiple of 21800 and 21810