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 9763, 9771 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9763 and 9771 is 1.
GCF(9763,9771) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9763
13 | 9763 |
751 | 751 |
1 |
Prime factors of 9763 are 13,751. Prime factorization of 9763 in exponential form is:
9763 = 131×7511
Prime Factorization of 9771
3 | 9771 |
3257 | 3257 |
1 |
Prime factors of 9771 are 3,3257. Prime factorization of 9771 in exponential form is:
9771 = 31×32571
∴ So by taking common prime factors GCF of 9763 and 9771 is 1
Factors of 9763
List of positive integer factors of 9763 that divides 9763 without a remainder.
1,13,751,9763
Factors of 9771
List of positive integer factors of 9771 that divides 9771 without a remainder.
1,3,3257,9771
Greatest Common Factor
We found the factors and prime factorization of 9763 and 9771. The biggest common factor number is the GCF number.
So the greatest common factor 9763 and 9771 is 1.
Also check out the Least Common Multiple of 9763 and 9771
(i) The GCF of 9763 and 9771 is associative
GCF of 9763 and 9771 = GCF of 9771 and 9763
1. What is the GCF of 9763 and 9771?
Answer: GCF of 9763 and 9771 is 1.
2. What are the Factors of 9763?
Answer: Factors of 9763 are 1, 13, 751, 9763. There are 4 integers that are factors of 9763. The greatest factor of 9763 is 9763.
3. What are the Factors of 9771?
Answer: Factors of 9771 are 1, 3, 3257, 9771. There are 4 integers that are factors of 9771. The greatest factor of 9771 is 9771.
4. How to Find the GCF of 9763 and 9771?
Answer:
Greatest Common Factor of 9763 and 9771 = 1
Step 1: Find the prime factorization of 9763
9763 = 13 x 751
Step 2: Find the prime factorization of 9771
9771 = 3 x 3257
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 9763 and 9771 is 1