What is the Greatest Common Factor of 5876 and 5889?

Greatest common factor (GCF) of 5876 and 5889 is 13.

GCF(5876,5889) = 13

We will now calculate the prime factors of 5876 and 5889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5876 and 5889.

How to find the GCF of 5876 and 5889?

We will first find the prime factorization of 5876 and 5889. After we will calculate the factors of 5876 and 5889 and find the biggest common factor number .

Step-1: Prime Factorization of 5876

Prime factors of 5876 are 2, 13, 113. Prime factorization of 5876 in exponential form is:

5876 = 2² × 13¹ × 113¹

Step-2: 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-3: Factors of 5876

List of positive integer factors of 5876 that divides 5876 without a remainder.

1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938

Step-4: Factors of 5889

List of positive integer factors of 5889 that divides 5876 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5876 and 5889. The biggest common factor number is the GCF number.
So the greatest common factor 5876 and 5889 is 13.

Also check out the Least Common Multiple of 5876 and 5889