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 9232, 9234 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9232 and 9234 is 2.
GCF(9232,9234) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9234
2 | 9234 |
3 | 4617 |
3 | 1539 |
3 | 513 |
3 | 171 |
3 | 57 |
19 | 19 |
1 |
Prime factors of 9234 are 2,3,19. Prime factorization of 9234 in exponential form is:
9234 = 21×35×191
∴ So by taking common prime factors GCF of 9232 and 9234 is 2
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
Factors of 9234
List of positive integer factors of 9234 that divides 9234 without a remainder.
1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,243,342,486,513,1026,1539,3078,4617,9234
Greatest Common Factor
We found the factors and prime factorization of 9232 and 9234. The biggest common factor number is the GCF number.
So the greatest common factor 9232 and 9234 is 2.
Also check out the Least Common Multiple of 9232 and 9234
(i) The GCF of 9232 and 9234 is associative
GCF of 9232 and 9234 = GCF of 9234 and 9232
1. What is the GCF of 9232 and 9234?
Answer: GCF of 9232 and 9234 is 2.
2. 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.
3. What are the Factors of 9234?
Answer: Factors of 9234 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 1026, 1539, 3078, 4617, 9234. There are 24 integers that are factors of 9234. The greatest factor of 9234 is 9234.
4. How to Find the GCF of 9232 and 9234?
Answer:
Greatest Common Factor of 9232 and 9234 = 2
Step 1: Find the prime factorization of 9232
9232 = 2 x 2 x 2 x 2 x 577
Step 2: Find the prime factorization of 9234
9234 = 2 x 3 x 3 x 3 x 3 x 3 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9232 and 9234 is 2