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 9268, 9273 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9268 and 9273 is 1.
GCF(9268,9273) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9268
2 | 9268 |
2 | 4634 |
7 | 2317 |
331 | 331 |
1 |
Prime factors of 9268 are 2,7,331. Prime factorization of 9268 in exponential form is:
9268 = 22×71×3311
Prime Factorization of 9273
3 | 9273 |
11 | 3091 |
281 | 281 |
1 |
Prime factors of 9273 are 3,11,281. Prime factorization of 9273 in exponential form is:
9273 = 31×111×2811
∴ So by taking common prime factors GCF of 9268 and 9273 is 1
Factors of 9268
List of positive integer factors of 9268 that divides 9268 without a remainder.
1,2,4,7,14,28,331,662,1324,2317,4634,9268
Factors of 9273
List of positive integer factors of 9273 that divides 9273 without a remainder.
1,3,11,33,281,843,3091,9273
Greatest Common Factor
We found the factors and prime factorization of 9268 and 9273. The biggest common factor number is the GCF number.
So the greatest common factor 9268 and 9273 is 1.
Also check out the Least Common Multiple of 9268 and 9273
(i) The GCF of 9268 and 9273 is associative
GCF of 9268 and 9273 = GCF of 9273 and 9268
1. What is the GCF of 9268 and 9273?
Answer: GCF of 9268 and 9273 is 1.
2. What are the Factors of 9268?
Answer: Factors of 9268 are 1, 2, 4, 7, 14, 28, 331, 662, 1324, 2317, 4634, 9268. There are 12 integers that are factors of 9268. The greatest factor of 9268 is 9268.
3. What are the Factors of 9273?
Answer: Factors of 9273 are 1, 3, 11, 33, 281, 843, 3091, 9273. There are 8 integers that are factors of 9273. The greatest factor of 9273 is 9273.
4. How to Find the GCF of 9268 and 9273?
Answer:
Greatest Common Factor of 9268 and 9273 = 1
Step 1: Find the prime factorization of 9268
9268 = 2 x 2 x 7 x 331
Step 2: Find the prime factorization of 9273
9273 = 3 x 11 x 281
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 9268 and 9273 is 1