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 9771, 9776 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9771 and 9776 is 1.
GCF(9771,9776) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9776
2 | 9776 |
2 | 4888 |
2 | 2444 |
2 | 1222 |
13 | 611 |
47 | 47 |
1 |
Prime factors of 9776 are 2,13,47. Prime factorization of 9776 in exponential form is:
9776 = 24×131×471
∴ So by taking common prime factors GCF of 9771 and 9776 is 1
Factors of 9771
List of positive integer factors of 9771 that divides 9771 without a remainder.
1,3,3257,9771
Factors of 9776
List of positive integer factors of 9776 that divides 9776 without a remainder.
1,2,4,8,13,16,26,47,52,94,104,188,208,376,611,752,1222,2444,4888,9776
Greatest Common Factor
We found the factors and prime factorization of 9771 and 9776. The biggest common factor number is the GCF number.
So the greatest common factor 9771 and 9776 is 1.
Also check out the Least Common Multiple of 9771 and 9776
(i) The GCF of 9771 and 9776 is associative
GCF of 9771 and 9776 = GCF of 9776 and 9771
1. What is the GCF of 9771 and 9776?
Answer: GCF of 9771 and 9776 is 1.
2. 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.
3. What are the Factors of 9776?
Answer: Factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776. There are 20 integers that are factors of 9776. The greatest factor of 9776 is 9776.
4. How to Find the GCF of 9771 and 9776?
Answer:
Greatest Common Factor of 9771 and 9776 = 1
Step 1: Find the prime factorization of 9771
9771 = 3 x 3257
Step 2: Find the prime factorization of 9776
9776 = 2 x 2 x 2 x 2 x 13 x 47
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 9771 and 9776 is 1