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 5486, 5493 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5486 and 5493 is 1.
GCF(5486,5493) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5486
2 | 5486 |
13 | 2743 |
211 | 211 |
1 |
Prime factors of 5486 are 2,13,211. Prime factorization of 5486 in exponential form is:
5486 = 21×131×2111
Prime Factorization of 5493
3 | 5493 |
1831 | 1831 |
1 |
Prime factors of 5493 are 3,1831. Prime factorization of 5493 in exponential form is:
5493 = 31×18311
∴ So by taking common prime factors GCF of 5486 and 5493 is 1
Factors of 5486
List of positive integer factors of 5486 that divides 5486 without a remainder.
1,2,13,26,211,422,2743,5486
Factors of 5493
List of positive integer factors of 5493 that divides 5493 without a remainder.
1,3,1831,5493
Greatest Common Factor
We found the factors and prime factorization of 5486 and 5493. The biggest common factor number is the GCF number.
So the greatest common factor 5486 and 5493 is 1.
Also check out the Least Common Multiple of 5486 and 5493
(i) The GCF of 5486 and 5493 is associative
GCF of 5486 and 5493 = GCF of 5493 and 5486
1. What is the GCF of 5486 and 5493?
Answer: GCF of 5486 and 5493 is 1.
2. What are the Factors of 5486?
Answer: Factors of 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486. There are 8 integers that are factors of 5486. The greatest factor of 5486 is 5486.
3. What are the Factors of 5493?
Answer: Factors of 5493 are 1, 3, 1831, 5493. There are 4 integers that are factors of 5493. The greatest factor of 5493 is 5493.
4. How to Find the GCF of 5486 and 5493?
Answer:
Greatest Common Factor of 5486 and 5493 = 1
Step 1: Find the prime factorization of 5486
5486 = 2 x 13 x 211
Step 2: Find the prime factorization of 5493
5493 = 3 x 1831
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 5486 and 5493 is 1