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 5736, 5742 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5736 and 5742 is 6.
GCF(5736,5742) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5736
2 | 5736 |
2 | 2868 |
2 | 1434 |
3 | 717 |
239 | 239 |
1 |
Prime factors of 5736 are 2,3,239. Prime factorization of 5736 in exponential form is:
5736 = 23×31×2391
Prime Factorization of 5742
2 | 5742 |
3 | 2871 |
3 | 957 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 5742 are 2,3,11,29. Prime factorization of 5742 in exponential form is:
5742 = 21×32×111×291
∴ So by taking common prime factors GCF of 5736 and 5742 is 6
Factors of 5736
List of positive integer factors of 5736 that divides 5736 without a remainder.
1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736
Factors of 5742
List of positive integer factors of 5742 that divides 5742 without a remainder.
1,2,3,6,9,11,18,22,29,33,58,66,87,99,174,198,261,319,522,638,957,1914,2871,5742
Greatest Common Factor
We found the factors and prime factorization of 5736 and 5742. The biggest common factor number is the GCF number.
So the greatest common factor 5736 and 5742 is 6.
Also check out the Least Common Multiple of 5736 and 5742
(i) The GCF of 5736 and 5742 is associative
GCF of 5736 and 5742 = GCF of 5742 and 5736
1. What is the GCF of 5736 and 5742?
Answer: GCF of 5736 and 5742 is 6.
2. What are the Factors of 5736?
Answer: Factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736. There are 16 integers that are factors of 5736. The greatest factor of 5736 is 5736.
3. What are the Factors of 5742?
Answer: Factors of 5742 are 1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871, 5742. There are 24 integers that are factors of 5742. The greatest factor of 5742 is 5742.
4. How to Find the GCF of 5736 and 5742?
Answer:
Greatest Common Factor of 5736 and 5742 = 6
Step 1: Find the prime factorization of 5736
5736 = 2 x 2 x 2 x 3 x 239
Step 2: Find the prime factorization of 5742
5742 = 2 x 3 x 3 x 11 x 29
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 5736 and 5742 is 6