Greatest Common Factor of 9374 and 9378

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, 9378 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9374 and 9378 is 2.

GCF(9374,9378) = 2

GCF of 9374 and 9378

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

GCF of:
and

Greatest Common Factor of 9374 and 9378

GCF of 9374 and 9378 is 2

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 9378


2 9378
3 4689
3 1563
521 521
1

Prime factors of 9378 are 2,3,521. Prime factorization of 9378 in exponential form is:

9378 = 21×32×5211

∴ So by taking common prime factors GCF of 9374 and 9378 is 2

Greatest Common Factor of 9374 and 9378 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 9378

List of positive integer factors of 9378 that divides 9378 without a remainder.

1,2,3,6,9,18,521,1042,1563,3126,4689,9378

Greatest Common Factor

We found the factors and prime factorization of 9374 and 9378. The biggest common factor number is the GCF number.
So the greatest common factor 9374 and 9378 is 2.

Also check out the Least Common Multiple of 9374 and 9378

Properties of GCF 9374 and 9378

(i) The GCF of 9374 and 9378 is associative

GCF of 9374 and 9378 = GCF of 9378 and 9374

Related Greatest Common Factor of 9374

Related Greatest Common Factor of 9378

Frequently Asked Questions on GCF of 9374 and 9378

1. What is the GCF of 9374 and 9378?

Answer: GCF of 9374 and 9378 is 2.

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 9378?

Answer: Factors of 9378 are 1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378. There are 12 integers that are factors of 9378. The greatest factor of 9378 is 9378.

4. How to Find the GCF of 9374 and 9378?

Answer:

Greatest Common Factor of 9374 and 9378 = 2

Step 1: Find the prime factorization of 9374

9374 = 2 x 43 x 109

Step 2: Find the prime factorization of 9378

9378 = 2 x 3 x 3 x 521

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 9374 and 9378 is 2