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 9788, 9794 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9788 and 9794 is 2.
GCF(9788,9794) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9788
2 | 9788 |
2 | 4894 |
2447 | 2447 |
1 |
Prime factors of 9788 are 2,2447. Prime factorization of 9788 in exponential form is:
9788 = 22×24471
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
∴ So by taking common prime factors GCF of 9788 and 9794 is 2
Factors of 9788
List of positive integer factors of 9788 that divides 9788 without a remainder.
1,2,4,2447,4894,9788
Factors of 9794
List of positive integer factors of 9794 that divides 9794 without a remainder.
1,2,59,83,118,166,4897,9794
Greatest Common Factor
We found the factors and prime factorization of 9788 and 9794. The biggest common factor number is the GCF number.
So the greatest common factor 9788 and 9794 is 2.
Also check out the Least Common Multiple of 9788 and 9794
(i) The GCF of 9788 and 9794 is associative
GCF of 9788 and 9794 = GCF of 9794 and 9788
1. What is the GCF of 9788 and 9794?
Answer: GCF of 9788 and 9794 is 2.
2. What are the Factors of 9788?
Answer: Factors of 9788 are 1, 2, 4, 2447, 4894, 9788. There are 6 integers that are factors of 9788. The greatest factor of 9788 is 9788.
3. 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.
4. How to Find the GCF of 9788 and 9794?
Answer:
Greatest Common Factor of 9788 and 9794 = 2
Step 1: Find the prime factorization of 9788
9788 = 2 x 2 x 2447
Step 2: Find the prime factorization of 9794
9794 = 2 x 59 x 83
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9788 and 9794 is 2