What is the Greatest Common Factor of 21873 and 21889?

Greatest common factor (GCF) of 21873 and 21889 is 1.

GCF(21873,21889) = 1

We will now calculate the prime factors of 21873 and 21889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21873 and 21889.

How to find the GCF of 21873 and 21889?

We will first find the prime factorization of 21873 and 21889. After we will calculate the factors of 21873 and 21889 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 21889

Prime factors of 21889 are 7, 53, 59. Prime factorization of 21889 in exponential form is:

21889 = 7¹ × 53¹ × 59¹

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 21889

List of positive integer factors of 21889 that divides 21873 without a remainder.

1, 7, 53, 59, 371, 413, 3127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21873 and 21889. The biggest common factor number is the GCF number.
So the greatest common factor 21873 and 21889 is 1.

Also check out the Least Common Multiple of 21873 and 21889