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 9220, 9224 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9220 and 9224 is 4.
GCF(9220,9224) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9220
2 | 9220 |
2 | 4610 |
5 | 2305 |
461 | 461 |
1 |
Prime factors of 9220 are 2,5,461. Prime factorization of 9220 in exponential form is:
9220 = 22×51×4611
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 9220 and 9224 is 4
Factors of 9220
List of positive integer factors of 9220 that divides 9220 without a remainder.
1,2,4,5,10,20,461,922,1844,2305,4610,9220
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 9220 and 9224. The biggest common factor number is the GCF number.
So the greatest common factor 9220 and 9224 is 4.
Also check out the Least Common Multiple of 9220 and 9224
(i) The GCF of 9220 and 9224 is associative
GCF of 9220 and 9224 = GCF of 9224 and 9220
1. What is the GCF of 9220 and 9224?
Answer: GCF of 9220 and 9224 is 4.
2. What are the Factors of 9220?
Answer: Factors of 9220 are 1, 2, 4, 5, 10, 20, 461, 922, 1844, 2305, 4610, 9220. There are 12 integers that are factors of 9220. The greatest factor of 9220 is 9220.
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 9220 and 9224?
Answer:
Greatest Common Factor of 9220 and 9224 = 4
Step 1: Find the prime factorization of 9220
9220 = 2 x 2 x 5 x 461
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 = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 9220 and 9224 is 4