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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 5439 and 5447 is associative
GCF of 5439 and 5447 = GCF of 5447 and 5439
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