Greatest Common Factor of 5909 and 5913

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, 5913 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5909 and 5913 is 1.

GCF(5909,5913) = 1

GCF of 5909 and 5913

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

GCF of:
and

Greatest Common Factor of 5909 and 5913

GCF of 5909 and 5913 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 5913


3 5913
3 1971
3 657
3 219
73 73
1

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

5913 = 34×731

∴ So by taking common prime factors GCF of 5909 and 5913 is 1

Greatest Common Factor of 5909 and 5913 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 5913

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

1,3,9,27,73,81,219,657,1971,5913

Greatest Common Factor

We found the factors and prime factorization of 5909 and 5913. The biggest common factor number is the GCF number.
So the greatest common factor 5909 and 5913 is 1.

Also check out the Least Common Multiple of 5909 and 5913

Properties of GCF 5909 and 5913

(i) The GCF of 5909 and 5913 is associative

GCF of 5909 and 5913 = GCF of 5913 and 5909

Related Greatest Common Factor of 5909

Related Greatest Common Factor of 5913

Frequently Asked Questions on GCF of 5909 and 5913

1. What is the GCF of 5909 and 5913?

Answer: GCF of 5909 and 5913 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 5913?

Answer: Factors of 5913 are 1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913. There are 10 integers that are factors of 5913. The greatest factor of 5913 is 5913.

4. How to Find the GCF of 5909 and 5913?

Answer:

Greatest Common Factor of 5909 and 5913 = 1

Step 1: Find the prime factorization of 5909

5909 = 19 x 311

Step 2: Find the prime factorization of 5913

5913 = 3 x 3 x 3 x 3 x 73

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 5913 is 1