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 3798, 3803 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3798 and 3803 is 1.
GCF(3798,3803) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3798
2 | 3798 |
3 | 1899 |
3 | 633 |
211 | 211 |
1 |
Prime factors of 3798 are 2,3,211. Prime factorization of 3798 in exponential form is:
3798 = 21×32×2111
Prime Factorization of 3803
3803 | 3803 |
1 |
Prime factors of 3803 are 3803. Prime factorization of 3803 in exponential form is:
3803 = 38031
∴ So by taking common prime factors GCF of 3798 and 3803 is 1
Factors of 3798
List of positive integer factors of 3798 that divides 3798 without a remainder.
1,2,3,6,9,18,211,422,633,1266,1899,3798
Factors of 3803
List of positive integer factors of 3803 that divides 3803 without a remainder.
1,3803
Greatest Common Factor
We found the factors and prime factorization of 3798 and 3803. The biggest common factor number is the GCF number.
So the greatest common factor 3798 and 3803 is 1.
Also check out the Least Common Multiple of 3798 and 3803
(i) The GCF of 3798 and 3803 is associative
GCF of 3798 and 3803 = GCF of 3803 and 3798
1. What is the GCF of 3798 and 3803?
Answer: GCF of 3798 and 3803 is 1.
2. What are the Factors of 3798?
Answer: Factors of 3798 are 1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798. There are 12 integers that are factors of 3798. The greatest factor of 3798 is 3798.
3. What are the Factors of 3803?
Answer: Factors of 3803 are 1, 3803. There are 2 integers that are factors of 3803. The greatest factor of 3803 is 3803.
4. How to Find the GCF of 3798 and 3803?
Answer:
Greatest Common Factor of 3798 and 3803 = 1
Step 1: Find the prime factorization of 3798
3798 = 2 x 3 x 3 x 211
Step 2: Find the prime factorization of 3803
3803 = 3803
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 3798 and 3803 is 1