Greatest Common Factor of 9386 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 9386, 9390 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9386 and 9390 is 2.

GCF(9386,9390) = 2

GCF of 9386 and 9390

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

GCF of:
and

Greatest Common Factor of 9386 and 9390

GCF of 9386 and 9390 is 2

Prime Factorization of 9386


2 9386
13 4693
19 361
19 19
1

Prime factors of 9386 are 2,13,19. Prime factorization of 9386 in exponential form is:

9386 = 21×131×192

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 9386 and 9390 is 2

Greatest Common Factor of 9386 and 9390 by matching factors method

Factors of 9386

List of positive integer factors of 9386 that divides 9386 without a remainder.

1,2,13,19,26,38,247,361,494,722,4693,9386

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 9386 and 9390. The biggest common factor number is the GCF number.
So the greatest common factor 9386 and 9390 is 2.

Also check out the Least Common Multiple of 9386 and 9390

Properties of GCF 9386 and 9390

(i) The GCF of 9386 and 9390 is associative

GCF of 9386 and 9390 = GCF of 9390 and 9386

Related Greatest Common Factor of 9386

Related Greatest Common Factor of 9390

Frequently Asked Questions on GCF of 9386 and 9390

1. What is the GCF of 9386 and 9390?

Answer: GCF of 9386 and 9390 is 2.

2. What are the Factors of 9386?

Answer: Factors of 9386 are 1, 2, 13, 19, 26, 38, 247, 361, 494, 722, 4693, 9386. There are 12 integers that are factors of 9386. The greatest factor of 9386 is 9386.

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 9386 and 9390?

Answer:

Greatest Common Factor of 9386 and 9390 = 2

Step 1: Find the prime factorization of 9386

9386 = 2 x 13 x 19 x 19

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 = 2

Step 4: Therefore, the greatest common factor of 9386 and 9390 is 2