Greatest Common Factor of 5405 and 5409

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 5405, 5409 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5405 and 5409 is 1.

GCF(5405,5409) = 1

GCF of 5405 and 5409

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

GCF of:
and

Greatest Common Factor of 5405 and 5409

GCF of 5405 and 5409 is 1

Prime Factorization of 5405


5 5405
23 1081
47 47
1

Prime factors of 5405 are 5,23,47. Prime factorization of 5405 in exponential form is:

5405 = 51×231×471

Prime Factorization of 5409


3 5409
3 1803
601 601
1

Prime factors of 5409 are 3,601. Prime factorization of 5409 in exponential form is:

5409 = 32×6011

∴ So by taking common prime factors GCF of 5405 and 5409 is 1

Greatest Common Factor of 5405 and 5409 by matching factors method

Factors of 5405

List of positive integer factors of 5405 that divides 5405 without a remainder.

1,5,23,47,115,235,1081,5405

Factors of 5409

List of positive integer factors of 5409 that divides 5409 without a remainder.

1,3,9,601,1803,5409

Greatest Common Factor

We found the factors and prime factorization of 5405 and 5409. The biggest common factor number is the GCF number.
So the greatest common factor 5405 and 5409 is 1.

Also check out the Least Common Multiple of 5405 and 5409

Properties of GCF 5405 and 5409

(i) The GCF of 5405 and 5409 is associative

GCF of 5405 and 5409 = GCF of 5409 and 5405

Related Greatest Common Factor of 5405

Related Greatest Common Factor of 5409

Frequently Asked Questions on GCF of 5405 and 5409

1. What is the GCF of 5405 and 5409?

Answer: GCF of 5405 and 5409 is 1.

2. What are the Factors of 5405?

Answer: Factors of 5405 are 1, 5, 23, 47, 115, 235, 1081, 5405. There are 8 integers that are factors of 5405. The greatest factor of 5405 is 5405.

3. What are the Factors of 5409?

Answer: Factors of 5409 are 1, 3, 9, 601, 1803, 5409. There are 6 integers that are factors of 5409. The greatest factor of 5409 is 5409.

4. How to Find the GCF of 5405 and 5409?

Answer:

Greatest Common Factor of 5405 and 5409 = 1

Step 1: Find the prime factorization of 5405

5405 = 5 x 23 x 47

Step 2: Find the prime factorization of 5409

5409 = 3 x 3 x 601

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 5405 and 5409 is 1