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 9229, 9232 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9229 and 9232 is 1.
GCF(9229,9232) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9229
11 | 9229 |
839 | 839 |
1 |
Prime factors of 9229 are 11,839. Prime factorization of 9229 in exponential form is:
9229 = 111×8391
Prime Factorization of 9232
2 | 9232 |
2 | 4616 |
2 | 2308 |
2 | 1154 |
577 | 577 |
1 |
Prime factors of 9232 are 2,577. Prime factorization of 9232 in exponential form is:
9232 = 24×5771
∴ So by taking common prime factors GCF of 9229 and 9232 is 1
Factors of 9229
List of positive integer factors of 9229 that divides 9229 without a remainder.
1,11,839,9229
Factors of 9232
List of positive integer factors of 9232 that divides 9232 without a remainder.
1,2,4,8,16,577,1154,2308,4616,9232
Greatest Common Factor
We found the factors and prime factorization of 9229 and 9232. The biggest common factor number is the GCF number.
So the greatest common factor 9229 and 9232 is 1.
Also check out the Least Common Multiple of 9229 and 9232
(i) The GCF of 9229 and 9232 is associative
GCF of 9229 and 9232 = GCF of 9232 and 9229
1. What is the GCF of 9229 and 9232?
Answer: GCF of 9229 and 9232 is 1.
2. What are the Factors of 9229?
Answer: Factors of 9229 are 1, 11, 839, 9229. There are 4 integers that are factors of 9229. The greatest factor of 9229 is 9229.
3. What are the Factors of 9232?
Answer: Factors of 9232 are 1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232. There are 10 integers that are factors of 9232. The greatest factor of 9232 is 9232.
4. How to Find the GCF of 9229 and 9232?
Answer:
Greatest Common Factor of 9229 and 9232 = 1
Step 1: Find the prime factorization of 9229
9229 = 11 x 839
Step 2: Find the prime factorization of 9232
9232 = 2 x 2 x 2 x 2 x 577
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 9229 and 9232 is 1