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 5704, 5705 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5704 and 5705 is 1.
GCF(5704,5705) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5705
5 | 5705 |
7 | 1141 |
163 | 163 |
1 |
Prime factors of 5705 are 5,7,163. Prime factorization of 5705 in exponential form is:
5705 = 51×71×1631
∴ So by taking common prime factors GCF of 5704 and 5705 is 1
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
Factors of 5705
List of positive integer factors of 5705 that divides 5705 without a remainder.
1,5,7,35,163,815,1141,5705
Greatest Common Factor
We found the factors and prime factorization of 5704 and 5705. The biggest common factor number is the GCF number.
So the greatest common factor 5704 and 5705 is 1.
Also check out the Least Common Multiple of 5704 and 5705
(i) The GCF of 5704 and 5705 is associative
GCF of 5704 and 5705 = GCF of 5705 and 5704
1. What is the GCF of 5704 and 5705?
Answer: GCF of 5704 and 5705 is 1.
2. 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.
3. What are the Factors of 5705?
Answer: Factors of 5705 are 1, 5, 7, 35, 163, 815, 1141, 5705. There are 8 integers that are factors of 5705. The greatest factor of 5705 is 5705.
4. How to Find the GCF of 5704 and 5705?
Answer:
Greatest Common Factor of 5704 and 5705 = 1
Step 1: Find the prime factorization of 5704
5704 = 2 x 2 x 2 x 23 x 31
Step 2: Find the prime factorization of 5705
5705 = 5 x 7 x 163
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 5704 and 5705 is 1