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 5487, 5491 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5487 and 5491 is 1.
GCF(5487,5491) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5487
3 | 5487 |
31 | 1829 |
59 | 59 |
1 |
Prime factors of 5487 are 3,31,59. Prime factorization of 5487 in exponential form is:
5487 = 31×311×591
Prime Factorization of 5491
17 | 5491 |
17 | 323 |
19 | 19 |
1 |
Prime factors of 5491 are 17,19. Prime factorization of 5491 in exponential form is:
5491 = 172×191
∴ So by taking common prime factors GCF of 5487 and 5491 is 1
Factors of 5487
List of positive integer factors of 5487 that divides 5487 without a remainder.
1,3,31,59,93,177,1829,5487
Factors of 5491
List of positive integer factors of 5491 that divides 5491 without a remainder.
1,17,19,289,323,5491
Greatest Common Factor
We found the factors and prime factorization of 5487 and 5491. The biggest common factor number is the GCF number.
So the greatest common factor 5487 and 5491 is 1.
Also check out the Least Common Multiple of 5487 and 5491
(i) The GCF of 5487 and 5491 is associative
GCF of 5487 and 5491 = GCF of 5491 and 5487
1. What is the GCF of 5487 and 5491?
Answer: GCF of 5487 and 5491 is 1.
2. What are the Factors of 5487?
Answer: Factors of 5487 are 1, 3, 31, 59, 93, 177, 1829, 5487. There are 8 integers that are factors of 5487. The greatest factor of 5487 is 5487.
3. What are the Factors of 5491?
Answer: Factors of 5491 are 1, 17, 19, 289, 323, 5491. There are 6 integers that are factors of 5491. The greatest factor of 5491 is 5491.
4. How to Find the GCF of 5487 and 5491?
Answer:
Greatest Common Factor of 5487 and 5491 = 1
Step 1: Find the prime factorization of 5487
5487 = 3 x 31 x 59
Step 2: Find the prime factorization of 5491
5491 = 17 x 17 x 19
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 5487 and 5491 is 1