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 9723, 9728 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9723 and 9728 is 1.
GCF(9723,9728) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9723
3 | 9723 |
7 | 3241 |
463 | 463 |
1 |
Prime factors of 9723 are 3,7,463. Prime factorization of 9723 in exponential form is:
9723 = 31×71×4631
Prime Factorization of 9728
2 | 9728 |
2 | 4864 |
2 | 2432 |
2 | 1216 |
2 | 608 |
2 | 304 |
2 | 152 |
2 | 76 |
2 | 38 |
19 | 19 |
1 |
Prime factors of 9728 are 2,19. Prime factorization of 9728 in exponential form is:
9728 = 29×191
∴ So by taking common prime factors GCF of 9723 and 9728 is 1
Factors of 9723
List of positive integer factors of 9723 that divides 9723 without a remainder.
1,3,7,21,463,1389,3241,9723
Factors of 9728
List of positive integer factors of 9728 that divides 9728 without a remainder.
1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728
Greatest Common Factor
We found the factors and prime factorization of 9723 and 9728. The biggest common factor number is the GCF number.
So the greatest common factor 9723 and 9728 is 1.
Also check out the Least Common Multiple of 9723 and 9728
(i) The GCF of 9723 and 9728 is associative
GCF of 9723 and 9728 = GCF of 9728 and 9723
1. What is the GCF of 9723 and 9728?
Answer: GCF of 9723 and 9728 is 1.
2. What are the Factors of 9723?
Answer: Factors of 9723 are 1, 3, 7, 21, 463, 1389, 3241, 9723. There are 8 integers that are factors of 9723. The greatest factor of 9723 is 9723.
3. What are the Factors of 9728?
Answer: Factors of 9728 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 512, 608, 1216, 2432, 4864, 9728. There are 20 integers that are factors of 9728. The greatest factor of 9728 is 9728.
4. How to Find the GCF of 9723 and 9728?
Answer:
Greatest Common Factor of 9723 and 9728 = 1
Step 1: Find the prime factorization of 9723
9723 = 3 x 7 x 463
Step 2: Find the prime factorization of 9728
9728 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19
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 9723 and 9728 is 1