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 9294, 9297 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9294 and 9297 is 3.
GCF(9294,9297) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9294
2 | 9294 |
3 | 4647 |
1549 | 1549 |
1 |
Prime factors of 9294 are 2,3,1549. Prime factorization of 9294 in exponential form is:
9294 = 21×31×15491
Prime Factorization of 9297
3 | 9297 |
3 | 3099 |
1033 | 1033 |
1 |
Prime factors of 9297 are 3,1033. Prime factorization of 9297 in exponential form is:
9297 = 32×10331
∴ So by taking common prime factors GCF of 9294 and 9297 is 3
Factors of 9294
List of positive integer factors of 9294 that divides 9294 without a remainder.
1,2,3,6,1549,3098,4647,9294
Factors of 9297
List of positive integer factors of 9297 that divides 9297 without a remainder.
1,3,9,1033,3099,9297
Greatest Common Factor
We found the factors and prime factorization of 9294 and 9297. The biggest common factor number is the GCF number.
So the greatest common factor 9294 and 9297 is 3.
Also check out the Least Common Multiple of 9294 and 9297
(i) The GCF of 9294 and 9297 is associative
GCF of 9294 and 9297 = GCF of 9297 and 9294
1. What is the GCF of 9294 and 9297?
Answer: GCF of 9294 and 9297 is 3.
2. What are the Factors of 9294?
Answer: Factors of 9294 are 1, 2, 3, 6, 1549, 3098, 4647, 9294. There are 8 integers that are factors of 9294. The greatest factor of 9294 is 9294.
3. What are the Factors of 9297?
Answer: Factors of 9297 are 1, 3, 9, 1033, 3099, 9297. There are 6 integers that are factors of 9297. The greatest factor of 9297 is 9297.
4. How to Find the GCF of 9294 and 9297?
Answer:
Greatest Common Factor of 9294 and 9297 = 3
Step 1: Find the prime factorization of 9294
9294 = 2 x 3 x 1549
Step 2: Find the prime factorization of 9297
9297 = 3 x 3 x 1033
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 9294 and 9297 is 3