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 5756, 5764 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5756 and 5764 is 4.
GCF(5756,5764) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5756
2 | 5756 |
2 | 2878 |
1439 | 1439 |
1 |
Prime factors of 5756 are 2,1439. Prime factorization of 5756 in exponential form is:
5756 = 22×14391
Prime Factorization of 5764
2 | 5764 |
2 | 2882 |
11 | 1441 |
131 | 131 |
1 |
Prime factors of 5764 are 2,11,131. Prime factorization of 5764 in exponential form is:
5764 = 22×111×1311
∴ So by taking common prime factors GCF of 5756 and 5764 is 4
Factors of 5756
List of positive integer factors of 5756 that divides 5756 without a remainder.
1,2,4,1439,2878,5756
Factors of 5764
List of positive integer factors of 5764 that divides 5764 without a remainder.
1,2,4,11,22,44,131,262,524,1441,2882,5764
Greatest Common Factor
We found the factors and prime factorization of 5756 and 5764. The biggest common factor number is the GCF number.
So the greatest common factor 5756 and 5764 is 4.
Also check out the Least Common Multiple of 5756 and 5764
(i) The GCF of 5756 and 5764 is associative
GCF of 5756 and 5764 = GCF of 5764 and 5756
1. What is the GCF of 5756 and 5764?
Answer: GCF of 5756 and 5764 is 4.
2. What are the Factors of 5756?
Answer: Factors of 5756 are 1, 2, 4, 1439, 2878, 5756. There are 6 integers that are factors of 5756. The greatest factor of 5756 is 5756.
3. What are the Factors of 5764?
Answer: Factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764. There are 12 integers that are factors of 5764. The greatest factor of 5764 is 5764.
4. How to Find the GCF of 5756 and 5764?
Answer:
Greatest Common Factor of 5756 and 5764 = 4
Step 1: Find the prime factorization of 5756
5756 = 2 x 2 x 1439
Step 2: Find the prime factorization of 5764
5764 = 2 x 2 x 11 x 131
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 5756 and 5764 is 4