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 3829, 3835 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3829 and 3835 is 1.
GCF(3829,3835) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3829
7 | 3829 |
547 | 547 |
1 |
Prime factors of 3829 are 7,547. Prime factorization of 3829 in exponential form is:
3829 = 71×5471
Prime Factorization of 3835
5 | 3835 |
13 | 767 |
59 | 59 |
1 |
Prime factors of 3835 are 5,13,59. Prime factorization of 3835 in exponential form is:
3835 = 51×131×591
∴ So by taking common prime factors GCF of 3829 and 3835 is 1
Factors of 3829
List of positive integer factors of 3829 that divides 3829 without a remainder.
1,7,547,3829
Factors of 3835
List of positive integer factors of 3835 that divides 3835 without a remainder.
1,5,13,59,65,295,767,3835
Greatest Common Factor
We found the factors and prime factorization of 3829 and 3835. The biggest common factor number is the GCF number.
So the greatest common factor 3829 and 3835 is 1.
Also check out the Least Common Multiple of 3829 and 3835
(i) The GCF of 3829 and 3835 is associative
GCF of 3829 and 3835 = GCF of 3835 and 3829
1. What is the GCF of 3829 and 3835?
Answer: GCF of 3829 and 3835 is 1.
2. What are the Factors of 3829?
Answer: Factors of 3829 are 1, 7, 547, 3829. There are 4 integers that are factors of 3829. The greatest factor of 3829 is 3829.
3. What are the Factors of 3835?
Answer: Factors of 3835 are 1, 5, 13, 59, 65, 295, 767, 3835. There are 8 integers that are factors of 3835. The greatest factor of 3835 is 3835.
4. How to Find the GCF of 3829 and 3835?
Answer:
Greatest Common Factor of 3829 and 3835 = 1
Step 1: Find the prime factorization of 3829
3829 = 7 x 547
Step 2: Find the prime factorization of 3835
3835 = 5 x 13 x 59
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 3829 and 3835 is 1