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 9304, 9311 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9304 and 9311 is 1.
GCF(9304,9311) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9304
2 | 9304 |
2 | 4652 |
2 | 2326 |
1163 | 1163 |
1 |
Prime factors of 9304 are 2,1163. Prime factorization of 9304 in exponential form is:
9304 = 23×11631
Prime Factorization of 9311
9311 | 9311 |
1 |
Prime factors of 9311 are 9311. Prime factorization of 9311 in exponential form is:
9311 = 93111
∴ So by taking common prime factors GCF of 9304 and 9311 is 1
Factors of 9304
List of positive integer factors of 9304 that divides 9304 without a remainder.
1,2,4,8,1163,2326,4652,9304
Factors of 9311
List of positive integer factors of 9311 that divides 9311 without a remainder.
1,9311
Greatest Common Factor
We found the factors and prime factorization of 9304 and 9311. The biggest common factor number is the GCF number.
So the greatest common factor 9304 and 9311 is 1.
Also check out the Least Common Multiple of 9304 and 9311
(i) The GCF of 9304 and 9311 is associative
GCF of 9304 and 9311 = GCF of 9311 and 9304
1. What is the GCF of 9304 and 9311?
Answer: GCF of 9304 and 9311 is 1.
2. What are the Factors of 9304?
Answer: Factors of 9304 are 1, 2, 4, 8, 1163, 2326, 4652, 9304. There are 8 integers that are factors of 9304. The greatest factor of 9304 is 9304.
3. What are the Factors of 9311?
Answer: Factors of 9311 are 1, 9311. There are 2 integers that are factors of 9311. The greatest factor of 9311 is 9311.
4. How to Find the GCF of 9304 and 9311?
Answer:
Greatest Common Factor of 9304 and 9311 = 1
Step 1: Find the prime factorization of 9304
9304 = 2 x 2 x 2 x 1163
Step 2: Find the prime factorization of 9311
9311 = 9311
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 9304 and 9311 is 1