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 9783, 9786 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9783 and 9786 is 3.
GCF(9783,9786) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9783
3 | 9783 |
3 | 3261 |
1087 | 1087 |
1 |
Prime factors of 9783 are 3,1087. Prime factorization of 9783 in exponential form is:
9783 = 32×10871
Prime Factorization of 9786
2 | 9786 |
3 | 4893 |
7 | 1631 |
233 | 233 |
1 |
Prime factors of 9786 are 2,3,7,233. Prime factorization of 9786 in exponential form is:
9786 = 21×31×71×2331
∴ So by taking common prime factors GCF of 9783 and 9786 is 3
Factors of 9783
List of positive integer factors of 9783 that divides 9783 without a remainder.
1,3,9,1087,3261,9783
Factors of 9786
List of positive integer factors of 9786 that divides 9786 without a remainder.
1,2,3,6,7,14,21,42,233,466,699,1398,1631,3262,4893,9786
Greatest Common Factor
We found the factors and prime factorization of 9783 and 9786. The biggest common factor number is the GCF number.
So the greatest common factor 9783 and 9786 is 3.
Also check out the Least Common Multiple of 9783 and 9786
(i) The GCF of 9783 and 9786 is associative
GCF of 9783 and 9786 = GCF of 9786 and 9783
1. What is the GCF of 9783 and 9786?
Answer: GCF of 9783 and 9786 is 3.
2. What are the Factors of 9783?
Answer: Factors of 9783 are 1, 3, 9, 1087, 3261, 9783. There are 6 integers that are factors of 9783. The greatest factor of 9783 is 9783.
3. What are the Factors of 9786?
Answer: Factors of 9786 are 1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786. There are 16 integers that are factors of 9786. The greatest factor of 9786 is 9786.
4. How to Find the GCF of 9783 and 9786?
Answer:
Greatest Common Factor of 9783 and 9786 = 3
Step 1: Find the prime factorization of 9783
9783 = 3 x 3 x 1087
Step 2: Find the prime factorization of 9786
9786 = 2 x 3 x 7 x 233
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 9783 and 9786 is 3