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 9390, 9392 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9390 and 9392 is 2.
GCF(9390,9392) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9390
2 | 9390 |
3 | 4695 |
5 | 1565 |
313 | 313 |
1 |
Prime factors of 9390 are 2,3,5,313. Prime factorization of 9390 in exponential form is:
9390 = 21×31×51×3131
Prime Factorization of 9392
2 | 9392 |
2 | 4696 |
2 | 2348 |
2 | 1174 |
587 | 587 |
1 |
Prime factors of 9392 are 2,587. Prime factorization of 9392 in exponential form is:
9392 = 24×5871
∴ So by taking common prime factors GCF of 9390 and 9392 is 2
Factors of 9390
List of positive integer factors of 9390 that divides 9390 without a remainder.
1,2,3,5,6,10,15,30,313,626,939,1565,1878,3130,4695,9390
Factors of 9392
List of positive integer factors of 9392 that divides 9392 without a remainder.
1,2,4,8,16,587,1174,2348,4696,9392
Greatest Common Factor
We found the factors and prime factorization of 9390 and 9392. The biggest common factor number is the GCF number.
So the greatest common factor 9390 and 9392 is 2.
Also check out the Least Common Multiple of 9390 and 9392
(i) The GCF of 9390 and 9392 is associative
GCF of 9390 and 9392 = GCF of 9392 and 9390
1. What is the GCF of 9390 and 9392?
Answer: GCF of 9390 and 9392 is 2.
2. What are the Factors of 9390?
Answer: Factors of 9390 are 1, 2, 3, 5, 6, 10, 15, 30, 313, 626, 939, 1565, 1878, 3130, 4695, 9390. There are 16 integers that are factors of 9390. The greatest factor of 9390 is 9390.
3. What are the Factors of 9392?
Answer: Factors of 9392 are 1, 2, 4, 8, 16, 587, 1174, 2348, 4696, 9392. There are 10 integers that are factors of 9392. The greatest factor of 9392 is 9392.
4. How to Find the GCF of 9390 and 9392?
Answer:
Greatest Common Factor of 9390 and 9392 = 2
Step 1: Find the prime factorization of 9390
9390 = 2 x 3 x 5 x 313
Step 2: Find the prime factorization of 9392
9392 = 2 x 2 x 2 x 2 x 587
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 9390 and 9392 is 2