What is the Greatest Common Factor of 20889 and 20899?

Greatest common factor (GCF) of 20889 and 20899 is 1.

GCF(20889,20899) = 1

We will now calculate the prime factors of 20889 and 20899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20889 and 20899.

How to find the GCF of 20889 and 20899?

We will first find the prime factorization of 20889 and 20899. After we will calculate the factors of 20889 and 20899 and find the biggest common factor number .

Step-1: Prime Factorization of 20889

Prime factors of 20889 are 3, 11, 211. Prime factorization of 20889 in exponential form is:

20889 = 3² × 11¹ × 211¹

Step-2: Prime Factorization of 20899

Prime factors of 20899 are 20899. Prime factorization of 20899 in exponential form is:

20899 = 20899¹

Step-3: Factors of 20889

List of positive integer factors of 20889 that divides 20889 without a remainder.

1, 3, 9, 11, 33, 99, 211, 633, 1899, 2321, 6963

Step-4: Factors of 20899

List of positive integer factors of 20899 that divides 20889 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20889 and 20899. The biggest common factor number is the GCF number.
So the greatest common factor 20889 and 20899 is 1.

Also check out the Least Common Multiple of 20889 and 20899