What is the Greatest Common Factor of 20889 and 20893?

Greatest common factor (GCF) of 20889 and 20893 is 1.

GCF(20889,20893) = 1

We will now calculate the prime factors of 20889 and 20893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20889 and 20893.

How to find the GCF of 20889 and 20893?

We will first find the prime factorization of 20889 and 20893. After we will calculate the factors of 20889 and 20893 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 20893

Prime factors of 20893 are 17, 1229. Prime factorization of 20893 in exponential form is:

20893 = 17¹ × 1229¹

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 20893

List of positive integer factors of 20893 that divides 20889 without a remainder.

1, 17, 1229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20889 and 20893. The biggest common factor number is the GCF number.
So the greatest common factor 20889 and 20893 is 1.

Also check out the Least Common Multiple of 20889 and 20893