What is the Greatest Common Factor of 5889 and 5895?

Greatest common factor (GCF) of 5889 and 5895 is 3.

GCF(5889,5895) = 3

We will now calculate the prime factors of 5889 and 5895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5889 and 5895.

How to find the GCF of 5889 and 5895?

We will first find the prime factorization of 5889 and 5895. After we will calculate the factors of 5889 and 5895 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 5895

Prime factors of 5895 are 3, 5, 131. Prime factorization of 5895 in exponential form is:

5895 = 3² × 5¹ × 131¹

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 5895

List of positive integer factors of 5895 that divides 5889 without a remainder.

1, 3, 5, 9, 15, 45, 131, 393, 655, 1179, 1965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5889 and 5895. The biggest common factor number is the GCF number.
So the greatest common factor 5889 and 5895 is 3.

Also check out the Least Common Multiple of 5889 and 5895