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 3791, 3798 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3791 and 3798 is 1.
GCF(3791,3798) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3791
17 | 3791 |
223 | 223 |
1 |
Prime factors of 3791 are 17,223. Prime factorization of 3791 in exponential form is:
3791 = 171×2231
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
∴ So by taking common prime factors GCF of 3791 and 3798 is 1
Factors of 3791
List of positive integer factors of 3791 that divides 3791 without a remainder.
1,17,223,3791
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
Greatest Common Factor
We found the factors and prime factorization of 3791 and 3798. The biggest common factor number is the GCF number.
So the greatest common factor 3791 and 3798 is 1.
Also check out the Least Common Multiple of 3791 and 3798
(i) The GCF of 3791 and 3798 is associative
GCF of 3791 and 3798 = GCF of 3798 and 3791
1. What is the GCF of 3791 and 3798?
Answer: GCF of 3791 and 3798 is 1.
2. What are the Factors of 3791?
Answer: Factors of 3791 are 1, 17, 223, 3791. There are 4 integers that are factors of 3791. The greatest factor of 3791 is 3791.
3. 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.
4. How to Find the GCF of 3791 and 3798?
Answer:
Greatest Common Factor of 3791 and 3798 = 1
Step 1: Find the prime factorization of 3791
3791 = 17 x 223
Step 2: Find the prime factorization of 3798
3798 = 2 x 3 x 3 x 211
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 3791 and 3798 is 1