Greatest Common Factor of 9375 and 9382

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 9375, 9382 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9375 and 9382 is 1.

GCF(9375,9382) = 1

GCF of 9375 and 9382

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

GCF of:
and

Greatest Common Factor of 9375 and 9382

GCF of 9375 and 9382 is 1

Prime Factorization of 9375


3 9375
5 3125
5 625
5 125
5 25
5 5
1

Prime factors of 9375 are 3,5. Prime factorization of 9375 in exponential form is:

9375 = 31×55

Prime Factorization of 9382


2 9382
4691 4691
1

Prime factors of 9382 are 2,4691. Prime factorization of 9382 in exponential form is:

9382 = 21×46911

∴ So by taking common prime factors GCF of 9375 and 9382 is 1

Greatest Common Factor of 9375 and 9382 by matching factors method

Factors of 9375

List of positive integer factors of 9375 that divides 9375 without a remainder.

1,3,5,15,25,75,125,375,625,1875,3125,9375

Factors of 9382

List of positive integer factors of 9382 that divides 9382 without a remainder.

1,2,4691,9382

Greatest Common Factor

We found the factors and prime factorization of 9375 and 9382. The biggest common factor number is the GCF number.
So the greatest common factor 9375 and 9382 is 1.

Also check out the Least Common Multiple of 9375 and 9382

Properties of GCF 9375 and 9382

(i) The GCF of 9375 and 9382 is associative

GCF of 9375 and 9382 = GCF of 9382 and 9375

Related Greatest Common Factor of 9375

Related Greatest Common Factor of 9382

Frequently Asked Questions on GCF of 9375 and 9382

1. What is the GCF of 9375 and 9382?

Answer: GCF of 9375 and 9382 is 1.

2. What are the Factors of 9375?

Answer: Factors of 9375 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375. There are 12 integers that are factors of 9375. The greatest factor of 9375 is 9375.

3. What are the Factors of 9382?

Answer: Factors of 9382 are 1, 2, 4691, 9382. There are 4 integers that are factors of 9382. The greatest factor of 9382 is 9382.

4. How to Find the GCF of 9375 and 9382?

Answer:

Greatest Common Factor of 9375 and 9382 = 1

Step 1: Find the prime factorization of 9375

9375 = 3 x 5 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 9382

9382 = 2 x 4691

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 9375 and 9382 is 1