Greatest Common Factor of 9374 and 9375

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 9374, 9375 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9374 and 9375 is 1.

GCF(9374,9375) = 1

GCF of 9374 and 9375

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

GCF of:
and

Greatest Common Factor of 9374 and 9375

GCF of 9374 and 9375 is 1

Prime Factorization of 9374


2 9374
43 4687
109 109
1

Prime factors of 9374 are 2,43,109. Prime factorization of 9374 in exponential form is:

9374 = 21×431×1091

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

∴ So by taking common prime factors GCF of 9374 and 9375 is 1

Greatest Common Factor of 9374 and 9375 by matching factors method

Factors of 9374

List of positive integer factors of 9374 that divides 9374 without a remainder.

1,2,43,86,109,218,4687,9374

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

Greatest Common Factor

We found the factors and prime factorization of 9374 and 9375. The biggest common factor number is the GCF number.
So the greatest common factor 9374 and 9375 is 1.

Also check out the Least Common Multiple of 9374 and 9375

Properties of GCF 9374 and 9375

(i) The GCF of 9374 and 9375 is associative

GCF of 9374 and 9375 = GCF of 9375 and 9374

Related Greatest Common Factor of 9374

Related Greatest Common Factor of 9375

Frequently Asked Questions on GCF of 9374 and 9375

1. What is the GCF of 9374 and 9375?

Answer: GCF of 9374 and 9375 is 1.

2. What are the Factors of 9374?

Answer: Factors of 9374 are 1, 2, 43, 86, 109, 218, 4687, 9374. There are 8 integers that are factors of 9374. The greatest factor of 9374 is 9374.

3. 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.

4. How to Find the GCF of 9374 and 9375?

Answer:

Greatest Common Factor of 9374 and 9375 = 1

Step 1: Find the prime factorization of 9374

9374 = 2 x 43 x 109

Step 2: Find the prime factorization of 9375

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

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 9374 and 9375 is 1