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 5829, 5837 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5829 and 5837 is 1.
GCF(5829,5837) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5829
3 | 5829 |
29 | 1943 |
67 | 67 |
1 |
Prime factors of 5829 are 3,29,67. Prime factorization of 5829 in exponential form is:
5829 = 31×291×671
Prime Factorization of 5837
13 | 5837 |
449 | 449 |
1 |
Prime factors of 5837 are 13,449. Prime factorization of 5837 in exponential form is:
5837 = 131×4491
∴ So by taking common prime factors GCF of 5829 and 5837 is 1
Factors of 5829
List of positive integer factors of 5829 that divides 5829 without a remainder.
1,3,29,67,87,201,1943,5829
Factors of 5837
List of positive integer factors of 5837 that divides 5837 without a remainder.
1,13,449,5837
Greatest Common Factor
We found the factors and prime factorization of 5829 and 5837. The biggest common factor number is the GCF number.
So the greatest common factor 5829 and 5837 is 1.
Also check out the Least Common Multiple of 5829 and 5837
(i) The GCF of 5829 and 5837 is associative
GCF of 5829 and 5837 = GCF of 5837 and 5829
1. What is the GCF of 5829 and 5837?
Answer: GCF of 5829 and 5837 is 1.
2. What are the Factors of 5829?
Answer: Factors of 5829 are 1, 3, 29, 67, 87, 201, 1943, 5829. There are 8 integers that are factors of 5829. The greatest factor of 5829 is 5829.
3. What are the Factors of 5837?
Answer: Factors of 5837 are 1, 13, 449, 5837. There are 4 integers that are factors of 5837. The greatest factor of 5837 is 5837.
4. How to Find the GCF of 5829 and 5837?
Answer:
Greatest Common Factor of 5829 and 5837 = 1
Step 1: Find the prime factorization of 5829
5829 = 3 x 29 x 67
Step 2: Find the prime factorization of 5837
5837 = 13 x 449
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 5829 and 5837 is 1