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 9726, 9733 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9726 and 9733 is 1.
GCF(9726,9733) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9726
2 | 9726 |
3 | 4863 |
1621 | 1621 |
1 |
Prime factors of 9726 are 2,3,1621. Prime factorization of 9726 in exponential form is:
9726 = 21×31×16211
Prime Factorization of 9733
9733 | 9733 |
1 |
Prime factors of 9733 are 9733. Prime factorization of 9733 in exponential form is:
9733 = 97331
∴ So by taking common prime factors GCF of 9726 and 9733 is 1
Factors of 9726
List of positive integer factors of 9726 that divides 9726 without a remainder.
1,2,3,6,1621,3242,4863,9726
Factors of 9733
List of positive integer factors of 9733 that divides 9733 without a remainder.
1,9733
Greatest Common Factor
We found the factors and prime factorization of 9726 and 9733. The biggest common factor number is the GCF number.
So the greatest common factor 9726 and 9733 is 1.
Also check out the Least Common Multiple of 9726 and 9733
(i) The GCF of 9726 and 9733 is associative
GCF of 9726 and 9733 = GCF of 9733 and 9726
1. What is the GCF of 9726 and 9733?
Answer: GCF of 9726 and 9733 is 1.
2. What are the Factors of 9726?
Answer: Factors of 9726 are 1, 2, 3, 6, 1621, 3242, 4863, 9726. There are 8 integers that are factors of 9726. The greatest factor of 9726 is 9726.
3. What are the Factors of 9733?
Answer: Factors of 9733 are 1, 9733. There are 2 integers that are factors of 9733. The greatest factor of 9733 is 9733.
4. How to Find the GCF of 9726 and 9733?
Answer:
Greatest Common Factor of 9726 and 9733 = 1
Step 1: Find the prime factorization of 9726
9726 = 2 x 3 x 1621
Step 2: Find the prime factorization of 9733
9733 = 9733
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 9726 and 9733 is 1