Greatest Common Factor of 5439 and 5447

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 5439, 5447 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5439 and 5447 is 1.

GCF(5439,5447) = 1

GCF of 5439 and 5447

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

GCF of:
and

Greatest Common Factor of 5439 and 5447

GCF of 5439 and 5447 is 1

Prime Factorization of 5439


3 5439
7 1813
7 259
37 37
1

Prime factors of 5439 are 3,7,37. Prime factorization of 5439 in exponential form is:

5439 = 31×72×371

Prime Factorization of 5447


13 5447
419 419
1

Prime factors of 5447 are 13,419. Prime factorization of 5447 in exponential form is:

5447 = 131×4191

∴ So by taking common prime factors GCF of 5439 and 5447 is 1

Greatest Common Factor of 5439 and 5447 by matching factors method

Factors of 5439

List of positive integer factors of 5439 that divides 5439 without a remainder.

1,3,7,21,37,49,111,147,259,777,1813,5439

Factors of 5447

List of positive integer factors of 5447 that divides 5447 without a remainder.

1,13,419,5447

Greatest Common Factor

We found the factors and prime factorization of 5439 and 5447. The biggest common factor number is the GCF number.
So the greatest common factor 5439 and 5447 is 1.

Also check out the Least Common Multiple of 5439 and 5447

Properties of GCF 5439 and 5447

(i) The GCF of 5439 and 5447 is associative

GCF of 5439 and 5447 = GCF of 5447 and 5439

Frequently Asked Questions on GCF of 5439 and 5447

1. What is the GCF of 5439 and 5447?

Answer: GCF of 5439 and 5447 is 1.

2. What are the Factors of 5439?

Answer: Factors of 5439 are 1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439. There are 12 integers that are factors of 5439. The greatest factor of 5439 is 5439.

3. What are the Factors of 5447?

Answer: Factors of 5447 are 1, 13, 419, 5447. There are 4 integers that are factors of 5447. The greatest factor of 5447 is 5447.

4. How to Find the GCF of 5439 and 5447?

Answer:

Greatest Common Factor of 5439 and 5447 = 1

Step 1: Find the prime factorization of 5439

5439 = 3 x 7 x 7 x 37

Step 2: Find the prime factorization of 5447

5447 = 13 x 419

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 5439 and 5447 is 1