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 9336, 9344 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9336 and 9344 is 8.
GCF(9336,9344) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9336
2 | 9336 |
2 | 4668 |
2 | 2334 |
3 | 1167 |
389 | 389 |
1 |
Prime factors of 9336 are 2,3,389. Prime factorization of 9336 in exponential form is:
9336 = 23×31×3891
Prime Factorization of 9344
2 | 9344 |
2 | 4672 |
2 | 2336 |
2 | 1168 |
2 | 584 |
2 | 292 |
2 | 146 |
73 | 73 |
1 |
Prime factors of 9344 are 2,73. Prime factorization of 9344 in exponential form is:
9344 = 27×731
∴ So by taking common prime factors GCF of 9336 and 9344 is 8
Factors of 9336
List of positive integer factors of 9336 that divides 9336 without a remainder.
1,2,3,4,6,8,12,24,389,778,1167,1556,2334,3112,4668,9336
Factors of 9344
List of positive integer factors of 9344 that divides 9344 without a remainder.
1,2,4,8,16,32,64,73,128,146,292,584,1168,2336,4672,9344
Greatest Common Factor
We found the factors and prime factorization of 9336 and 9344. The biggest common factor number is the GCF number.
So the greatest common factor 9336 and 9344 is 8.
Also check out the Least Common Multiple of 9336 and 9344
(i) The GCF of 9336 and 9344 is associative
GCF of 9336 and 9344 = GCF of 9344 and 9336
1. What is the GCF of 9336 and 9344?
Answer: GCF of 9336 and 9344 is 8.
2. What are the Factors of 9336?
Answer: Factors of 9336 are 1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336. There are 16 integers that are factors of 9336. The greatest factor of 9336 is 9336.
3. What are the Factors of 9344?
Answer: Factors of 9344 are 1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 292, 584, 1168, 2336, 4672, 9344. There are 16 integers that are factors of 9344. The greatest factor of 9344 is 9344.
4. How to Find the GCF of 9336 and 9344?
Answer:
Greatest Common Factor of 9336 and 9344 = 8
Step 1: Find the prime factorization of 9336
9336 = 2 x 2 x 2 x 3 x 389
Step 2: Find the prime factorization of 9344
9344 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 73
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 9336 and 9344 is 8