Greatest Common Factor of 5905 and 5909

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 5905, 5909 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5905 and 5909 is 1.

GCF(5905,5909) = 1

GCF of 5905 and 5909

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

GCF of:
and

Greatest Common Factor of 5905 and 5909

GCF of 5905 and 5909 is 1

Prime Factorization of 5905


5 5905
1181 1181
1

Prime factors of 5905 are 5,1181. Prime factorization of 5905 in exponential form is:

5905 = 51×11811

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

∴ So by taking common prime factors GCF of 5905 and 5909 is 1

Greatest Common Factor of 5905 and 5909 by matching factors method

Factors of 5905

List of positive integer factors of 5905 that divides 5905 without a remainder.

1,5,1181,5905

Factors of 5909

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

1,19,311,5909

Greatest Common Factor

We found the factors and prime factorization of 5905 and 5909. The biggest common factor number is the GCF number.
So the greatest common factor 5905 and 5909 is 1.

Also check out the Least Common Multiple of 5905 and 5909

Properties of GCF 5905 and 5909

(i) The GCF of 5905 and 5909 is associative

GCF of 5905 and 5909 = GCF of 5909 and 5905

Related Greatest Common Factor of 5905

Related Greatest Common Factor of 5909

Frequently Asked Questions on GCF of 5905 and 5909

1. What is the GCF of 5905 and 5909?

Answer: GCF of 5905 and 5909 is 1.

2. What are the Factors of 5905?

Answer: Factors of 5905 are 1, 5, 1181, 5905. There are 4 integers that are factors of 5905. The greatest factor of 5905 is 5905.

3. 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.

4. How to Find the GCF of 5905 and 5909?

Answer:

Greatest Common Factor of 5905 and 5909 = 1

Step 1: Find the prime factorization of 5905

5905 = 5 x 1181

Step 2: Find the prime factorization of 5909

5909 = 19 x 311

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 5905 and 5909 is 1