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 5385, 5391 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5385 and 5391 is 3.
GCF(5385,5391) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5385
3 | 5385 |
5 | 1795 |
359 | 359 |
1 |
Prime factors of 5385 are 3,5,359. Prime factorization of 5385 in exponential form is:
5385 = 31×51×3591
Prime Factorization of 5391
3 | 5391 |
3 | 1797 |
599 | 599 |
1 |
Prime factors of 5391 are 3,599. Prime factorization of 5391 in exponential form is:
5391 = 32×5991
∴ So by taking common prime factors GCF of 5385 and 5391 is 3
Factors of 5385
List of positive integer factors of 5385 that divides 5385 without a remainder.
1,3,5,15,359,1077,1795,5385
Factors of 5391
List of positive integer factors of 5391 that divides 5391 without a remainder.
1,3,9,599,1797,5391
Greatest Common Factor
We found the factors and prime factorization of 5385 and 5391. The biggest common factor number is the GCF number.
So the greatest common factor 5385 and 5391 is 3.
Also check out the Least Common Multiple of 5385 and 5391
(i) The GCF of 5385 and 5391 is associative
GCF of 5385 and 5391 = GCF of 5391 and 5385
1. What is the GCF of 5385 and 5391?
Answer: GCF of 5385 and 5391 is 3.
2. What are the Factors of 5385?
Answer: Factors of 5385 are 1, 3, 5, 15, 359, 1077, 1795, 5385. There are 8 integers that are factors of 5385. The greatest factor of 5385 is 5385.
3. What are the Factors of 5391?
Answer: Factors of 5391 are 1, 3, 9, 599, 1797, 5391. There are 6 integers that are factors of 5391. The greatest factor of 5391 is 5391.
4. How to Find the GCF of 5385 and 5391?
Answer:
Greatest Common Factor of 5385 and 5391 = 3
Step 1: Find the prime factorization of 5385
5385 = 3 x 5 x 359
Step 2: Find the prime factorization of 5391
5391 = 3 x 3 x 599
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 5385 and 5391 is 3