What is the Greatest Common Factor of 21873 and 21893?

Greatest common factor (GCF) of 21873 and 21893 is 1.

GCF(21873,21893) = 1

We will now calculate the prime factors of 21873 and 21893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21873 and 21893.

How to find the GCF of 21873 and 21893?

We will first find the prime factorization of 21873 and 21893. After we will calculate the factors of 21873 and 21893 and find the biggest common factor number .

Step-1: Prime Factorization of 21873

Prime factors of 21873 are 3, 23, 317. Prime factorization of 21873 in exponential form is:

21873 = 3¹ × 23¹ × 317¹

Step-2: Prime Factorization of 21893

Prime factors of 21893 are 21893. Prime factorization of 21893 in exponential form is:

21893 = 21893¹

Step-3: Factors of 21873

List of positive integer factors of 21873 that divides 21873 without a remainder.

1, 3, 23, 69, 317, 951, 7291

Step-4: Factors of 21893

List of positive integer factors of 21893 that divides 21873 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21873 and 21893. The biggest common factor number is the GCF number.
So the greatest common factor 21873 and 21893 is 1.

Also check out the Least Common Multiple of 21873 and 21893