What is the Greatest Common Factor of 5889 and 5902?

Greatest common factor (GCF) of 5889 and 5902 is 13.

GCF(5889,5902) = 13

We will now calculate the prime factors of 5889 and 5902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5889 and 5902.

How to find the GCF of 5889 and 5902?

We will first find the prime factorization of 5889 and 5902. After we will calculate the factors of 5889 and 5902 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 5902

Prime factors of 5902 are 2, 13, 227. Prime factorization of 5902 in exponential form is:

5902 = 2¹ × 13¹ × 227¹

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 5902

List of positive integer factors of 5902 that divides 5889 without a remainder.

1, 2, 13, 26, 227, 454, 2951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5889 and 5902. The biggest common factor number is the GCF number.
So the greatest common factor 5889 and 5902 is 13.

Also check out the Least Common Multiple of 5889 and 5902