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 5481, 5484 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5481 and 5484 is 3.
GCF(5481,5484) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5481
3 | 5481 |
3 | 1827 |
3 | 609 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 5481 are 3,7,29. Prime factorization of 5481 in exponential form is:
5481 = 33×71×291
Prime Factorization of 5484
2 | 5484 |
2 | 2742 |
3 | 1371 |
457 | 457 |
1 |
Prime factors of 5484 are 2,3,457. Prime factorization of 5484 in exponential form is:
5484 = 22×31×4571
∴ So by taking common prime factors GCF of 5481 and 5484 is 3
Factors of 5481
List of positive integer factors of 5481 that divides 5481 without a remainder.
1,3,7,9,21,27,29,63,87,189,203,261,609,783,1827,5481
Factors of 5484
List of positive integer factors of 5484 that divides 5484 without a remainder.
1,2,3,4,6,12,457,914,1371,1828,2742,5484
Greatest Common Factor
We found the factors and prime factorization of 5481 and 5484. The biggest common factor number is the GCF number.
So the greatest common factor 5481 and 5484 is 3.
Also check out the Least Common Multiple of 5481 and 5484
(i) The GCF of 5481 and 5484 is associative
GCF of 5481 and 5484 = GCF of 5484 and 5481
1. What is the GCF of 5481 and 5484?
Answer: GCF of 5481 and 5484 is 3.
2. What are the Factors of 5481?
Answer: Factors of 5481 are 1, 3, 7, 9, 21, 27, 29, 63, 87, 189, 203, 261, 609, 783, 1827, 5481. There are 16 integers that are factors of 5481. The greatest factor of 5481 is 5481.
3. What are the Factors of 5484?
Answer: Factors of 5484 are 1, 2, 3, 4, 6, 12, 457, 914, 1371, 1828, 2742, 5484. There are 12 integers that are factors of 5484. The greatest factor of 5484 is 5484.
4. How to Find the GCF of 5481 and 5484?
Answer:
Greatest Common Factor of 5481 and 5484 = 3
Step 1: Find the prime factorization of 5481
5481 = 3 x 3 x 3 x 7 x 29
Step 2: Find the prime factorization of 5484
5484 = 2 x 2 x 3 x 457
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 5481 and 5484 is 3