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 9243, 9248 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9243 and 9248 is 1.
GCF(9243,9248) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9243
3 | 9243 |
3 | 3081 |
13 | 1027 |
79 | 79 |
1 |
Prime factors of 9243 are 3,13,79. Prime factorization of 9243 in exponential form is:
9243 = 32×131×791
Prime Factorization of 9248
2 | 9248 |
2 | 4624 |
2 | 2312 |
2 | 1156 |
2 | 578 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 9248 are 2,17. Prime factorization of 9248 in exponential form is:
9248 = 25×172
∴ So by taking common prime factors GCF of 9243 and 9248 is 1
Factors of 9243
List of positive integer factors of 9243 that divides 9243 without a remainder.
1,3,9,13,39,79,117,237,711,1027,3081,9243
Factors of 9248
List of positive integer factors of 9248 that divides 9248 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,289,544,578,1156,2312,4624,9248
Greatest Common Factor
We found the factors and prime factorization of 9243 and 9248. The biggest common factor number is the GCF number.
So the greatest common factor 9243 and 9248 is 1.
Also check out the Least Common Multiple of 9243 and 9248
(i) The GCF of 9243 and 9248 is associative
GCF of 9243 and 9248 = GCF of 9248 and 9243
1. What is the GCF of 9243 and 9248?
Answer: GCF of 9243 and 9248 is 1.
2. What are the Factors of 9243?
Answer: Factors of 9243 are 1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243. There are 12 integers that are factors of 9243. The greatest factor of 9243 is 9243.
3. What are the Factors of 9248?
Answer: Factors of 9248 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248. There are 18 integers that are factors of 9248. The greatest factor of 9248 is 9248.
4. How to Find the GCF of 9243 and 9248?
Answer:
Greatest Common Factor of 9243 and 9248 = 1
Step 1: Find the prime factorization of 9243
9243 = 3 x 3 x 13 x 79
Step 2: Find the prime factorization of 9248
9248 = 2 x 2 x 2 x 2 x 2 x 17 x 17
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 9243 and 9248 is 1