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 5763, 5765 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5763 and 5765 is 1.
GCF(5763,5765) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5763
3 | 5763 |
17 | 1921 |
113 | 113 |
1 |
Prime factors of 5763 are 3,17,113. Prime factorization of 5763 in exponential form is:
5763 = 31×171×1131
Prime Factorization of 5765
5 | 5765 |
1153 | 1153 |
1 |
Prime factors of 5765 are 5,1153. Prime factorization of 5765 in exponential form is:
5765 = 51×11531
∴ So by taking common prime factors GCF of 5763 and 5765 is 1
Factors of 5763
List of positive integer factors of 5763 that divides 5763 without a remainder.
1,3,17,51,113,339,1921,5763
Factors of 5765
List of positive integer factors of 5765 that divides 5765 without a remainder.
1,5,1153,5765
Greatest Common Factor
We found the factors and prime factorization of 5763 and 5765. The biggest common factor number is the GCF number.
So the greatest common factor 5763 and 5765 is 1.
Also check out the Least Common Multiple of 5763 and 5765
(i) The GCF of 5763 and 5765 is associative
GCF of 5763 and 5765 = GCF of 5765 and 5763
1. What is the GCF of 5763 and 5765?
Answer: GCF of 5763 and 5765 is 1.
2. What are the Factors of 5763?
Answer: Factors of 5763 are 1, 3, 17, 51, 113, 339, 1921, 5763. There are 8 integers that are factors of 5763. The greatest factor of 5763 is 5763.
3. What are the Factors of 5765?
Answer: Factors of 5765 are 1, 5, 1153, 5765. There are 4 integers that are factors of 5765. The greatest factor of 5765 is 5765.
4. How to Find the GCF of 5763 and 5765?
Answer:
Greatest Common Factor of 5763 and 5765 = 1
Step 1: Find the prime factorization of 5763
5763 = 3 x 17 x 113
Step 2: Find the prime factorization of 5765
5765 = 5 x 1153
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 5763 and 5765 is 1