Greatest Common Factor of 5909 and 5917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5909, 5917 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5909 and 5917 is 1.

GCF(5909,5917) = 1

GCF of 5909 and 5917

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5909 and 5917

GCF of 5909 and 5917 is 1

Prime Factorization of 5909


19 5909
311 311
1

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

5909 = 191×3111

Prime Factorization of 5917


61 5917
97 97
1

Prime factors of 5917 are 61,97. Prime factorization of 5917 in exponential form is:

5917 = 611×971

∴ So by taking common prime factors GCF of 5909 and 5917 is 1

Greatest Common Factor of 5909 and 5917 by matching factors method

Factors of 5909

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

1,19,311,5909

Factors of 5917

List of positive integer factors of 5917 that divides 5917 without a remainder.

1,61,97,5917

Greatest Common Factor

We found the factors and prime factorization of 5909 and 5917. The biggest common factor number is the GCF number.
So the greatest common factor 5909 and 5917 is 1.

Also check out the Least Common Multiple of 5909 and 5917

Properties of GCF 5909 and 5917

(i) The GCF of 5909 and 5917 is associative

GCF of 5909 and 5917 = GCF of 5917 and 5909

Related Greatest Common Factor of 5909

Related Greatest Common Factor of 5917

Frequently Asked Questions on GCF of 5909 and 5917

1. What is the GCF of 5909 and 5917?

Answer: GCF of 5909 and 5917 is 1.

2. What are the Factors of 5909?

Answer: Factors of 5909 are 1, 19, 311, 5909. There are 4 integers that are factors of 5909. The greatest factor of 5909 is 5909.

3. What are the Factors of 5917?

Answer: Factors of 5917 are 1, 61, 97, 5917. There are 4 integers that are factors of 5917. The greatest factor of 5917 is 5917.

4. How to Find the GCF of 5909 and 5917?

Answer:

Greatest Common Factor of 5909 and 5917 = 1

Step 1: Find the prime factorization of 5909

5909 = 19 x 311

Step 2: Find the prime factorization of 5917

5917 = 61 x 97

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 5909 and 5917 is 1