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 5742, 5749 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5742 and 5749 is 1.
GCF(5742,5749) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5749
5749 | 5749 |
1 |
Prime factors of 5749 are 5749. Prime factorization of 5749 in exponential form is:
5749 = 57491
∴ So by taking common prime factors GCF of 5742 and 5749 is 1
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
Factors of 5749
List of positive integer factors of 5749 that divides 5749 without a remainder.
1,5749
Greatest Common Factor
We found the factors and prime factorization of 5742 and 5749. The biggest common factor number is the GCF number.
So the greatest common factor 5742 and 5749 is 1.
Also check out the Least Common Multiple of 5742 and 5749
(i) The GCF of 5742 and 5749 is associative
GCF of 5742 and 5749 = GCF of 5749 and 5742
1. What is the GCF of 5742 and 5749?
Answer: GCF of 5742 and 5749 is 1.
2. 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.
3. What are the Factors of 5749?
Answer: Factors of 5749 are 1, 5749. There are 2 integers that are factors of 5749. The greatest factor of 5749 is 5749.
4. How to Find the GCF of 5742 and 5749?
Answer:
Greatest Common Factor of 5742 and 5749 = 1
Step 1: Find the prime factorization of 5742
5742 = 2 x 3 x 3 x 11 x 29
Step 2: Find the prime factorization of 5749
5749 = 5749
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 5742 and 5749 is 1