What is the Greatest Common Factor of 5889 and 5893?

Greatest common factor (GCF) of 5889 and 5893 is 1.

GCF(5889,5893) = 1

We will now calculate the prime factors of 5889 and 5893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5889 and 5893.

How to find the GCF of 5889 and 5893?

We will first find the prime factorization of 5889 and 5893. After we will calculate the factors of 5889 and 5893 and find the biggest common factor number .

Step-1: Prime Factorization of 5889

Prime factors of 5889 are 3, 13, 151. Prime factorization of 5889 in exponential form is:

5889 = 3¹ × 13¹ × 151¹

Step-2: Prime Factorization of 5893

Prime factors of 5893 are 71, 83. Prime factorization of 5893 in exponential form is:

5893 = 71¹ × 83¹

Step-3: Factors of 5889

List of positive integer factors of 5889 that divides 5889 without a remainder.

1, 3, 13, 39, 151, 453, 1963

Step-4: Factors of 5893

List of positive integer factors of 5893 that divides 5889 without a remainder.

1, 71, 83

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5889 and 5893. The biggest common factor number is the GCF number.
So the greatest common factor 5889 and 5893 is 1.

Also check out the Least Common Multiple of 5889 and 5893