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 5463, 5471 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5463 and 5471 is 1.
GCF(5463,5471) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5463
3 | 5463 |
3 | 1821 |
607 | 607 |
1 |
Prime factors of 5463 are 3,607. Prime factorization of 5463 in exponential form is:
5463 = 32×6071
Prime Factorization of 5471
5471 | 5471 |
1 |
Prime factors of 5471 are 5471. Prime factorization of 5471 in exponential form is:
5471 = 54711
∴ So by taking common prime factors GCF of 5463 and 5471 is 1
Factors of 5463
List of positive integer factors of 5463 that divides 5463 without a remainder.
1,3,9,607,1821,5463
Factors of 5471
List of positive integer factors of 5471 that divides 5471 without a remainder.
1,5471
Greatest Common Factor
We found the factors and prime factorization of 5463 and 5471. The biggest common factor number is the GCF number.
So the greatest common factor 5463 and 5471 is 1.
Also check out the Least Common Multiple of 5463 and 5471
(i) The GCF of 5463 and 5471 is associative
GCF of 5463 and 5471 = GCF of 5471 and 5463
1. What is the GCF of 5463 and 5471?
Answer: GCF of 5463 and 5471 is 1.
2. What are the Factors of 5463?
Answer: Factors of 5463 are 1, 3, 9, 607, 1821, 5463. There are 6 integers that are factors of 5463. The greatest factor of 5463 is 5463.
3. What are the Factors of 5471?
Answer: Factors of 5471 are 1, 5471. There are 2 integers that are factors of 5471. The greatest factor of 5471 is 5471.
4. How to Find the GCF of 5463 and 5471?
Answer:
Greatest Common Factor of 5463 and 5471 = 1
Step 1: Find the prime factorization of 5463
5463 = 3 x 3 x 607
Step 2: Find the prime factorization of 5471
5471 = 5471
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 5463 and 5471 is 1