What is the Greatest Common Factor of 21783 and 21800?

Greatest common factor (GCF) of 21783 and 21800 is 1.

GCF(21783,21800) = 1

We will now calculate the prime factors of 21783 and 21800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21783 and 21800.

How to find the GCF of 21783 and 21800?

We will first find the prime factorization of 21783 and 21800. After we will calculate the factors of 21783 and 21800 and find the biggest common factor number .

Step-1: Prime Factorization of 21783

Prime factors of 21783 are 3, 53, 137. Prime factorization of 21783 in exponential form is:

21783 = 3¹ × 53¹ × 137¹

Step-2: 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-3: Factors of 21783

List of positive integer factors of 21783 that divides 21783 without a remainder.

1, 3, 53, 137, 159, 411, 7261

Step-4: Factors of 21800

List of positive integer factors of 21800 that divides 21783 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21783 and 21800. The biggest common factor number is the GCF number.
So the greatest common factor 21783 and 21800 is 1.

Also check out the Least Common Multiple of 21783 and 21800