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 9249, 9256 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9249 and 9256 is 1.
GCF(9249,9256) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9249
3 | 9249 |
3083 | 3083 |
1 |
Prime factors of 9249 are 3,3083. Prime factorization of 9249 in exponential form is:
9249 = 31×30831
Prime Factorization of 9256
2 | 9256 |
2 | 4628 |
2 | 2314 |
13 | 1157 |
89 | 89 |
1 |
Prime factors of 9256 are 2,13,89. Prime factorization of 9256 in exponential form is:
9256 = 23×131×891
∴ So by taking common prime factors GCF of 9249 and 9256 is 1
Factors of 9249
List of positive integer factors of 9249 that divides 9249 without a remainder.
1,3,3083,9249
Factors of 9256
List of positive integer factors of 9256 that divides 9256 without a remainder.
1,2,4,8,13,26,52,89,104,178,356,712,1157,2314,4628,9256
Greatest Common Factor
We found the factors and prime factorization of 9249 and 9256. The biggest common factor number is the GCF number.
So the greatest common factor 9249 and 9256 is 1.
Also check out the Least Common Multiple of 9249 and 9256
(i) The GCF of 9249 and 9256 is associative
GCF of 9249 and 9256 = GCF of 9256 and 9249
1. What is the GCF of 9249 and 9256?
Answer: GCF of 9249 and 9256 is 1.
2. What are the Factors of 9249?
Answer: Factors of 9249 are 1, 3, 3083, 9249. There are 4 integers that are factors of 9249. The greatest factor of 9249 is 9249.
3. What are the Factors of 9256?
Answer: Factors of 9256 are 1, 2, 4, 8, 13, 26, 52, 89, 104, 178, 356, 712, 1157, 2314, 4628, 9256. There are 16 integers that are factors of 9256. The greatest factor of 9256 is 9256.
4. How to Find the GCF of 9249 and 9256?
Answer:
Greatest Common Factor of 9249 and 9256 = 1
Step 1: Find the prime factorization of 9249
9249 = 3 x 3083
Step 2: Find the prime factorization of 9256
9256 = 2 x 2 x 2 x 13 x 89
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 9249 and 9256 is 1