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 5685, 5693 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5685 and 5693 is 1.
GCF(5685,5693) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5685
3 | 5685 |
5 | 1895 |
379 | 379 |
1 |
Prime factors of 5685 are 3,5,379. Prime factorization of 5685 in exponential form is:
5685 = 31×51×3791
Prime Factorization of 5693
5693 | 5693 |
1 |
Prime factors of 5693 are 5693. Prime factorization of 5693 in exponential form is:
5693 = 56931
∴ So by taking common prime factors GCF of 5685 and 5693 is 1
Factors of 5685
List of positive integer factors of 5685 that divides 5685 without a remainder.
1,3,5,15,379,1137,1895,5685
Factors of 5693
List of positive integer factors of 5693 that divides 5693 without a remainder.
1,5693
Greatest Common Factor
We found the factors and prime factorization of 5685 and 5693. The biggest common factor number is the GCF number.
So the greatest common factor 5685 and 5693 is 1.
Also check out the Least Common Multiple of 5685 and 5693
(i) The GCF of 5685 and 5693 is associative
GCF of 5685 and 5693 = GCF of 5693 and 5685
1. What is the GCF of 5685 and 5693?
Answer: GCF of 5685 and 5693 is 1.
2. What are the Factors of 5685?
Answer: Factors of 5685 are 1, 3, 5, 15, 379, 1137, 1895, 5685. There are 8 integers that are factors of 5685. The greatest factor of 5685 is 5685.
3. What are the Factors of 5693?
Answer: Factors of 5693 are 1, 5693. There are 2 integers that are factors of 5693. The greatest factor of 5693 is 5693.
4. How to Find the GCF of 5685 and 5693?
Answer:
Greatest Common Factor of 5685 and 5693 = 1
Step 1: Find the prime factorization of 5685
5685 = 3 x 5 x 379
Step 2: Find the prime factorization of 5693
5693 = 5693
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 5685 and 5693 is 1