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, 9252 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9249 and 9252 is 3.
GCF(9249,9252) = 3
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 9252
2 | 9252 |
2 | 4626 |
3 | 2313 |
3 | 771 |
257 | 257 |
1 |
Prime factors of 9252 are 2,3,257. Prime factorization of 9252 in exponential form is:
9252 = 22×32×2571
∴ So by taking common prime factors GCF of 9249 and 9252 is 3
Factors of 9249
List of positive integer factors of 9249 that divides 9249 without a remainder.
1,3,3083,9249
Factors of 9252
List of positive integer factors of 9252 that divides 9252 without a remainder.
1,2,3,4,6,9,12,18,36,257,514,771,1028,1542,2313,3084,4626,9252
Greatest Common Factor
We found the factors and prime factorization of 9249 and 9252. The biggest common factor number is the GCF number.
So the greatest common factor 9249 and 9252 is 3.
Also check out the Least Common Multiple of 9249 and 9252
(i) The GCF of 9249 and 9252 is associative
GCF of 9249 and 9252 = GCF of 9252 and 9249
1. What is the GCF of 9249 and 9252?
Answer: GCF of 9249 and 9252 is 3.
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 9252?
Answer: Factors of 9252 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 9252. There are 18 integers that are factors of 9252. The greatest factor of 9252 is 9252.
4. How to Find the GCF of 9249 and 9252?
Answer:
Greatest Common Factor of 9249 and 9252 = 3
Step 1: Find the prime factorization of 9249
9249 = 3 x 3083
Step 2: Find the prime factorization of 9252
9252 = 2 x 2 x 3 x 3 x 257
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 9249 and 9252 is 3