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 9755, 9756 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9755 and 9756 is 1.
GCF(9755,9756) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9755
5 | 9755 |
1951 | 1951 |
1 |
Prime factors of 9755 are 5,1951. Prime factorization of 9755 in exponential form is:
9755 = 51×19511
Prime Factorization of 9756
2 | 9756 |
2 | 4878 |
3 | 2439 |
3 | 813 |
271 | 271 |
1 |
Prime factors of 9756 are 2,3,271. Prime factorization of 9756 in exponential form is:
9756 = 22×32×2711
∴ So by taking common prime factors GCF of 9755 and 9756 is 1
Factors of 9755
List of positive integer factors of 9755 that divides 9755 without a remainder.
1,5,1951,9755
Factors of 9756
List of positive integer factors of 9756 that divides 9756 without a remainder.
1,2,3,4,6,9,12,18,36,271,542,813,1084,1626,2439,3252,4878,9756
Greatest Common Factor
We found the factors and prime factorization of 9755 and 9756. The biggest common factor number is the GCF number.
So the greatest common factor 9755 and 9756 is 1.
Also check out the Least Common Multiple of 9755 and 9756
(i) The GCF of 9755 and 9756 is associative
GCF of 9755 and 9756 = GCF of 9756 and 9755
1. What is the GCF of 9755 and 9756?
Answer: GCF of 9755 and 9756 is 1.
2. What are the Factors of 9755?
Answer: Factors of 9755 are 1, 5, 1951, 9755. There are 4 integers that are factors of 9755. The greatest factor of 9755 is 9755.
3. What are the Factors of 9756?
Answer: Factors of 9756 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 9756. There are 18 integers that are factors of 9756. The greatest factor of 9756 is 9756.
4. How to Find the GCF of 9755 and 9756?
Answer:
Greatest Common Factor of 9755 and 9756 = 1
Step 1: Find the prime factorization of 9755
9755 = 5 x 1951
Step 2: Find the prime factorization of 9756
9756 = 2 x 2 x 3 x 3 x 271
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 9755 and 9756 is 1