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 9794, 9799 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9794 and 9799 is 1.
GCF(9794,9799) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9794
2 | 9794 |
59 | 4897 |
83 | 83 |
1 |
Prime factors of 9794 are 2,59,83. Prime factorization of 9794 in exponential form is:
9794 = 21×591×831
Prime Factorization of 9799
41 | 9799 |
239 | 239 |
1 |
Prime factors of 9799 are 41,239. Prime factorization of 9799 in exponential form is:
9799 = 411×2391
∴ So by taking common prime factors GCF of 9794 and 9799 is 1
Factors of 9794
List of positive integer factors of 9794 that divides 9794 without a remainder.
1,2,59,83,118,166,4897,9794
Factors of 9799
List of positive integer factors of 9799 that divides 9799 without a remainder.
1,41,239,9799
Greatest Common Factor
We found the factors and prime factorization of 9794 and 9799. The biggest common factor number is the GCF number.
So the greatest common factor 9794 and 9799 is 1.
Also check out the Least Common Multiple of 9794 and 9799
(i) The GCF of 9794 and 9799 is associative
GCF of 9794 and 9799 = GCF of 9799 and 9794
1. What is the GCF of 9794 and 9799?
Answer: GCF of 9794 and 9799 is 1.
2. What are the Factors of 9794?
Answer: Factors of 9794 are 1, 2, 59, 83, 118, 166, 4897, 9794. There are 8 integers that are factors of 9794. The greatest factor of 9794 is 9794.
3. What are the Factors of 9799?
Answer: Factors of 9799 are 1, 41, 239, 9799. There are 4 integers that are factors of 9799. The greatest factor of 9799 is 9799.
4. How to Find the GCF of 9794 and 9799?
Answer:
Greatest Common Factor of 9794 and 9799 = 1
Step 1: Find the prime factorization of 9794
9794 = 2 x 59 x 83
Step 2: Find the prime factorization of 9799
9799 = 41 x 239
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 9794 and 9799 is 1