What is the Greatest Common Factor of 21889 and 21897?

Greatest common factor (GCF) of 21889 and 21897 is 1.

GCF(21889,21897) = 1

We will now calculate the prime factors of 21889 and 21897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21889 and 21897.

How to find the GCF of 21889 and 21897?

We will first find the prime factorization of 21889 and 21897. After we will calculate the factors of 21889 and 21897 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21897

Prime factors of 21897 are 3, 811. Prime factorization of 21897 in exponential form is:

21897 = 3³ × 811¹

Step-3: Factors of 21889

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

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

Step-4: Factors of 21897

List of positive integer factors of 21897 that divides 21889 without a remainder.

1, 3, 9, 27, 811, 2433, 7299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21889 and 21897. The biggest common factor number is the GCF number.
So the greatest common factor 21889 and 21897 is 1.

Also check out the Least Common Multiple of 21889 and 21897