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 9393, 9400 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9393 and 9400 is 1.
GCF(9393,9400) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9393
3 | 9393 |
31 | 3131 |
101 | 101 |
1 |
Prime factors of 9393 are 3,31,101. Prime factorization of 9393 in exponential form is:
9393 = 31×311×1011
Prime Factorization of 9400
2 | 9400 |
2 | 4700 |
2 | 2350 |
5 | 1175 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 9400 are 2,5,47. Prime factorization of 9400 in exponential form is:
9400 = 23×52×471
∴ So by taking common prime factors GCF of 9393 and 9400 is 1
Factors of 9393
List of positive integer factors of 9393 that divides 9393 without a remainder.
1,3,31,93,101,303,3131,9393
Factors of 9400
List of positive integer factors of 9400 that divides 9400 without a remainder.
1,2,4,5,8,10,20,25,40,47,50,94,100,188,200,235,376,470,940,1175,1880,2350,4700,9400
Greatest Common Factor
We found the factors and prime factorization of 9393 and 9400. The biggest common factor number is the GCF number.
So the greatest common factor 9393 and 9400 is 1.
Also check out the Least Common Multiple of 9393 and 9400
(i) The GCF of 9393 and 9400 is associative
GCF of 9393 and 9400 = GCF of 9400 and 9393
1. What is the GCF of 9393 and 9400?
Answer: GCF of 9393 and 9400 is 1.
2. What are the Factors of 9393?
Answer: Factors of 9393 are 1, 3, 31, 93, 101, 303, 3131, 9393. There are 8 integers that are factors of 9393. The greatest factor of 9393 is 9393.
3. What are the Factors of 9400?
Answer: Factors of 9400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400. There are 24 integers that are factors of 9400. The greatest factor of 9400 is 9400.
4. How to Find the GCF of 9393 and 9400?
Answer:
Greatest Common Factor of 9393 and 9400 = 1
Step 1: Find the prime factorization of 9393
9393 = 3 x 31 x 101
Step 2: Find the prime factorization of 9400
9400 = 2 x 2 x 2 x 5 x 5 x 47
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 9393 and 9400 is 1