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 9380, 9388 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9380 and 9388 is 4.
GCF(9380,9388) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9380
2 | 9380 |
2 | 4690 |
5 | 2345 |
7 | 469 |
67 | 67 |
1 |
Prime factors of 9380 are 2,5,7,67. Prime factorization of 9380 in exponential form is:
9380 = 22×51×71×671
Prime Factorization of 9388
2 | 9388 |
2 | 4694 |
2347 | 2347 |
1 |
Prime factors of 9388 are 2,2347. Prime factorization of 9388 in exponential form is:
9388 = 22×23471
∴ So by taking common prime factors GCF of 9380 and 9388 is 4
Factors of 9380
List of positive integer factors of 9380 that divides 9380 without a remainder.
1,2,4,5,7,10,14,20,28,35,67,70,134,140,268,335,469,670,938,1340,1876,2345,4690,9380
Factors of 9388
List of positive integer factors of 9388 that divides 9388 without a remainder.
1,2,4,2347,4694,9388
Greatest Common Factor
We found the factors and prime factorization of 9380 and 9388. The biggest common factor number is the GCF number.
So the greatest common factor 9380 and 9388 is 4.
Also check out the Least Common Multiple of 9380 and 9388
(i) The GCF of 9380 and 9388 is associative
GCF of 9380 and 9388 = GCF of 9388 and 9380
1. What is the GCF of 9380 and 9388?
Answer: GCF of 9380 and 9388 is 4.
2. What are the Factors of 9380?
Answer: Factors of 9380 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 67, 70, 134, 140, 268, 335, 469, 670, 938, 1340, 1876, 2345, 4690, 9380. There are 24 integers that are factors of 9380. The greatest factor of 9380 is 9380.
3. What are the Factors of 9388?
Answer: Factors of 9388 are 1, 2, 4, 2347, 4694, 9388. There are 6 integers that are factors of 9388. The greatest factor of 9388 is 9388.
4. How to Find the GCF of 9380 and 9388?
Answer:
Greatest Common Factor of 9380 and 9388 = 4
Step 1: Find the prime factorization of 9380
9380 = 2 x 2 x 5 x 7 x 67
Step 2: Find the prime factorization of 9388
9388 = 2 x 2 x 2347
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 9380 and 9388 is 4