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 9696, 9703 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9696 and 9703 is 1.
GCF(9696,9703) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9696
2 | 9696 |
2 | 4848 |
2 | 2424 |
2 | 1212 |
2 | 606 |
3 | 303 |
101 | 101 |
1 |
Prime factors of 9696 are 2,3,101. Prime factorization of 9696 in exponential form is:
9696 = 25×31×1011
Prime Factorization of 9703
31 | 9703 |
313 | 313 |
1 |
Prime factors of 9703 are 31,313. Prime factorization of 9703 in exponential form is:
9703 = 311×3131
∴ So by taking common prime factors GCF of 9696 and 9703 is 1
Factors of 9696
List of positive integer factors of 9696 that divides 9696 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96,101,202,303,404,606,808,1212,1616,2424,3232,4848,9696
Factors of 9703
List of positive integer factors of 9703 that divides 9703 without a remainder.
1,31,313,9703
Greatest Common Factor
We found the factors and prime factorization of 9696 and 9703. The biggest common factor number is the GCF number.
So the greatest common factor 9696 and 9703 is 1.
Also check out the Least Common Multiple of 9696 and 9703
(i) The GCF of 9696 and 9703 is associative
GCF of 9696 and 9703 = GCF of 9703 and 9696
1. What is the GCF of 9696 and 9703?
Answer: GCF of 9696 and 9703 is 1.
2. What are the Factors of 9696?
Answer: Factors of 9696 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 3232, 4848, 9696. There are 24 integers that are factors of 9696. The greatest factor of 9696 is 9696.
3. What are the Factors of 9703?
Answer: Factors of 9703 are 1, 31, 313, 9703. There are 4 integers that are factors of 9703. The greatest factor of 9703 is 9703.
4. How to Find the GCF of 9696 and 9703?
Answer:
Greatest Common Factor of 9696 and 9703 = 1
Step 1: Find the prime factorization of 9696
9696 = 2 x 2 x 2 x 2 x 2 x 3 x 101
Step 2: Find the prime factorization of 9703
9703 = 31 x 313
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 9696 and 9703 is 1