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 5697, 5704 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5697 and 5704 is 1.
GCF(5697,5704) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5697
3 | 5697 |
3 | 1899 |
3 | 633 |
211 | 211 |
1 |
Prime factors of 5697 are 3,211. Prime factorization of 5697 in exponential form is:
5697 = 33×2111
Prime Factorization of 5704
2 | 5704 |
2 | 2852 |
2 | 1426 |
23 | 713 |
31 | 31 |
1 |
Prime factors of 5704 are 2,23,31. Prime factorization of 5704 in exponential form is:
5704 = 23×231×311
∴ So by taking common prime factors GCF of 5697 and 5704 is 1
Factors of 5697
List of positive integer factors of 5697 that divides 5697 without a remainder.
1,3,9,27,211,633,1899,5697
Factors of 5704
List of positive integer factors of 5704 that divides 5704 without a remainder.
1,2,4,8,23,31,46,62,92,124,184,248,713,1426,2852,5704
Greatest Common Factor
We found the factors and prime factorization of 5697 and 5704. The biggest common factor number is the GCF number.
So the greatest common factor 5697 and 5704 is 1.
Also check out the Least Common Multiple of 5697 and 5704
(i) The GCF of 5697 and 5704 is associative
GCF of 5697 and 5704 = GCF of 5704 and 5697
1. What is the GCF of 5697 and 5704?
Answer: GCF of 5697 and 5704 is 1.
2. What are the Factors of 5697?
Answer: Factors of 5697 are 1, 3, 9, 27, 211, 633, 1899, 5697. There are 8 integers that are factors of 5697. The greatest factor of 5697 is 5697.
3. What are the Factors of 5704?
Answer: Factors of 5704 are 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704. There are 16 integers that are factors of 5704. The greatest factor of 5704 is 5704.
4. How to Find the GCF of 5697 and 5704?
Answer:
Greatest Common Factor of 5697 and 5704 = 1
Step 1: Find the prime factorization of 5697
5697 = 3 x 3 x 3 x 211
Step 2: Find the prime factorization of 5704
5704 = 2 x 2 x 2 x 23 x 31
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 5697 and 5704 is 1