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 9223, 9224 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9223 and 9224 is 1.
GCF(9223,9224) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9223
23 | 9223 |
401 | 401 |
1 |
Prime factors of 9223 are 23,401. Prime factorization of 9223 in exponential form is:
9223 = 231×4011
Prime Factorization of 9224
2 | 9224 |
2 | 4612 |
2 | 2306 |
1153 | 1153 |
1 |
Prime factors of 9224 are 2,1153. Prime factorization of 9224 in exponential form is:
9224 = 23×11531
∴ So by taking common prime factors GCF of 9223 and 9224 is 1
Factors of 9223
List of positive integer factors of 9223 that divides 9223 without a remainder.
1,23,401,9223
Factors of 9224
List of positive integer factors of 9224 that divides 9224 without a remainder.
1,2,4,8,1153,2306,4612,9224
Greatest Common Factor
We found the factors and prime factorization of 9223 and 9224. The biggest common factor number is the GCF number.
So the greatest common factor 9223 and 9224 is 1.
Also check out the Least Common Multiple of 9223 and 9224
(i) The GCF of 9223 and 9224 is associative
GCF of 9223 and 9224 = GCF of 9224 and 9223
1. What is the GCF of 9223 and 9224?
Answer: GCF of 9223 and 9224 is 1.
2. What are the Factors of 9223?
Answer: Factors of 9223 are 1, 23, 401, 9223. There are 4 integers that are factors of 9223. The greatest factor of 9223 is 9223.
3. What are the Factors of 9224?
Answer: Factors of 9224 are 1, 2, 4, 8, 1153, 2306, 4612, 9224. There are 8 integers that are factors of 9224. The greatest factor of 9224 is 9224.
4. How to Find the GCF of 9223 and 9224?
Answer:
Greatest Common Factor of 9223 and 9224 = 1
Step 1: Find the prime factorization of 9223
9223 = 23 x 401
Step 2: Find the prime factorization of 9224
9224 = 2 x 2 x 2 x 1153
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 9223 and 9224 is 1