What is the Greatest Common Factor of 5895 and 5913?

Greatest common factor (GCF) of 5895 and 5913 is 9.

GCF(5895,5913) = 9

We will now calculate the prime factors of 5895 and 5913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5895 and 5913.

How to find the GCF of 5895 and 5913?

We will first find the prime factorization of 5895 and 5913. After we will calculate the factors of 5895 and 5913 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5913

Prime factors of 5913 are 3, 73. Prime factorization of 5913 in exponential form is:

5913 = 3⁴ × 73¹

Step-3: Factors of 5895

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

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

Step-4: Factors of 5913

List of positive integer factors of 5913 that divides 5895 without a remainder.

1, 3, 9, 27, 73, 81, 219, 657, 1971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5895 and 5913. The biggest common factor number is the GCF number.
So the greatest common factor 5895 and 5913 is 9.

Also check out the Least Common Multiple of 5895 and 5913