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 5766, 5768 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5766 and 5768 is 2.
GCF(5766,5768) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5766
2 | 5766 |
3 | 2883 |
31 | 961 |
31 | 31 |
1 |
Prime factors of 5766 are 2,3,31. Prime factorization of 5766 in exponential form is:
5766 = 21×31×312
Prime Factorization of 5768
2 | 5768 |
2 | 2884 |
2 | 1442 |
7 | 721 |
103 | 103 |
1 |
Prime factors of 5768 are 2,7,103. Prime factorization of 5768 in exponential form is:
5768 = 23×71×1031
∴ So by taking common prime factors GCF of 5766 and 5768 is 2
Factors of 5766
List of positive integer factors of 5766 that divides 5766 without a remainder.
1,2,3,6,31,62,93,186,961,1922,2883,5766
Factors of 5768
List of positive integer factors of 5768 that divides 5768 without a remainder.
1,2,4,7,8,14,28,56,103,206,412,721,824,1442,2884,5768
Greatest Common Factor
We found the factors and prime factorization of 5766 and 5768. The biggest common factor number is the GCF number.
So the greatest common factor 5766 and 5768 is 2.
Also check out the Least Common Multiple of 5766 and 5768
(i) The GCF of 5766 and 5768 is associative
GCF of 5766 and 5768 = GCF of 5768 and 5766
1. What is the GCF of 5766 and 5768?
Answer: GCF of 5766 and 5768 is 2.
2. What are the Factors of 5766?
Answer: Factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766. There are 12 integers that are factors of 5766. The greatest factor of 5766 is 5766.
3. What are the Factors of 5768?
Answer: Factors of 5768 are 1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884, 5768. There are 16 integers that are factors of 5768. The greatest factor of 5768 is 5768.
4. How to Find the GCF of 5766 and 5768?
Answer:
Greatest Common Factor of 5766 and 5768 = 2
Step 1: Find the prime factorization of 5766
5766 = 2 x 3 x 31 x 31
Step 2: Find the prime factorization of 5768
5768 = 2 x 2 x 2 x 7 x 103
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 5766 and 5768 is 2