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 9745, 9753 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9745 and 9753 is 1.
GCF(9745,9753) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9745
5 | 9745 |
1949 | 1949 |
1 |
Prime factors of 9745 are 5,1949. Prime factorization of 9745 in exponential form is:
9745 = 51×19491
Prime Factorization of 9753
3 | 9753 |
3251 | 3251 |
1 |
Prime factors of 9753 are 3,3251. Prime factorization of 9753 in exponential form is:
9753 = 31×32511
∴ So by taking common prime factors GCF of 9745 and 9753 is 1
Factors of 9745
List of positive integer factors of 9745 that divides 9745 without a remainder.
1,5,1949,9745
Factors of 9753
List of positive integer factors of 9753 that divides 9753 without a remainder.
1,3,3251,9753
Greatest Common Factor
We found the factors and prime factorization of 9745 and 9753. The biggest common factor number is the GCF number.
So the greatest common factor 9745 and 9753 is 1.
Also check out the Least Common Multiple of 9745 and 9753
(i) The GCF of 9745 and 9753 is associative
GCF of 9745 and 9753 = GCF of 9753 and 9745
1. What is the GCF of 9745 and 9753?
Answer: GCF of 9745 and 9753 is 1.
2. What are the Factors of 9745?
Answer: Factors of 9745 are 1, 5, 1949, 9745. There are 4 integers that are factors of 9745. The greatest factor of 9745 is 9745.
3. What are the Factors of 9753?
Answer: Factors of 9753 are 1, 3, 3251, 9753. There are 4 integers that are factors of 9753. The greatest factor of 9753 is 9753.
4. How to Find the GCF of 9745 and 9753?
Answer:
Greatest Common Factor of 9745 and 9753 = 1
Step 1: Find the prime factorization of 9745
9745 = 5 x 1949
Step 2: Find the prime factorization of 9753
9753 = 3 x 3251
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 9745 and 9753 is 1