What is the Greatest Common Factor of 5909 and 5914?

Greatest common factor (GCF) of 5909 and 5914 is 1.

GCF(5909,5914) = 1

We will now calculate the prime factors of 5909 and 5914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5909 and 5914.

How to find the GCF of 5909 and 5914?

We will first find the prime factorization of 5909 and 5914. After we will calculate the factors of 5909 and 5914 and find the biggest common factor number .

Step-1: Prime Factorization of 5909

Prime factors of 5909 are 19, 311. Prime factorization of 5909 in exponential form is:

5909 = 19¹ × 311¹

Step-2: Prime Factorization of 5914

Prime factors of 5914 are 2, 2957. Prime factorization of 5914 in exponential form is:

5914 = 2¹ × 2957¹

Step-3: Factors of 5909

List of positive integer factors of 5909 that divides 5909 without a remainder.

1, 19, 311

Step-4: Factors of 5914

List of positive integer factors of 5914 that divides 5909 without a remainder.

1, 2, 2957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5909 and 5914. The biggest common factor number is the GCF number.
So the greatest common factor 5909 and 5914 is 1.

Also check out the Least Common Multiple of 5909 and 5914