Greatest Common Factor of 9385 and 9390

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 9385, 9390 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9385 and 9390 is 5.

GCF(9385,9390) = 5

GCF of 9385 and 9390

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9385 and 9390

GCF of 9385 and 9390 is 5

Prime Factorization of 9385


5 9385
1877 1877
1

Prime factors of 9385 are 5,1877. Prime factorization of 9385 in exponential form is:

9385 = 51×18771

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

∴ So by taking common prime factors GCF of 9385 and 9390 is 5

Greatest Common Factor of 9385 and 9390 by matching factors method

Factors of 9385

List of positive integer factors of 9385 that divides 9385 without a remainder.

1,5,1877,9385

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

Greatest Common Factor

We found the factors and prime factorization of 9385 and 9390. The biggest common factor number is the GCF number.
So the greatest common factor 9385 and 9390 is 5.

Also check out the Least Common Multiple of 9385 and 9390

Properties of GCF 9385 and 9390

(i) The GCF of 9385 and 9390 is associative

GCF of 9385 and 9390 = GCF of 9390 and 9385

Related Greatest Common Factor of 9385

Related Greatest Common Factor of 9390

Frequently Asked Questions on GCF of 9385 and 9390

1. What is the GCF of 9385 and 9390?

Answer: GCF of 9385 and 9390 is 5.

2. What are the Factors of 9385?

Answer: Factors of 9385 are 1, 5, 1877, 9385. There are 4 integers that are factors of 9385. The greatest factor of 9385 is 9385.

3. 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.

4. How to Find the GCF of 9385 and 9390?

Answer:

Greatest Common Factor of 9385 and 9390 = 5

Step 1: Find the prime factorization of 9385

9385 = 5 x 1877

Step 2: Find the prime factorization of 9390

9390 = 2 x 3 x 5 x 313

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 9385 and 9390 is 5