Greatest Common Factor of 9378 and 9380

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 9378, 9380 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9378 and 9380 is 2.

GCF(9378,9380) = 2

GCF of 9378 and 9380

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

GCF of:
and

Greatest Common Factor of 9378 and 9380

GCF of 9378 and 9380 is 2

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

Prime Factorization of 9380


2 9380
2 4690
5 2345
7 469
67 67
1

Prime factors of 9380 are 2,5,7,67. Prime factorization of 9380 in exponential form is:

9380 = 22×51×71×671

∴ So by taking common prime factors GCF of 9378 and 9380 is 2

Greatest Common Factor of 9378 and 9380 by matching factors method

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

Factors of 9380

List of positive integer factors of 9380 that divides 9380 without a remainder.

1,2,4,5,7,10,14,20,28,35,67,70,134,140,268,335,469,670,938,1340,1876,2345,4690,9380

Greatest Common Factor

We found the factors and prime factorization of 9378 and 9380. The biggest common factor number is the GCF number.
So the greatest common factor 9378 and 9380 is 2.

Also check out the Least Common Multiple of 9378 and 9380

Properties of GCF 9378 and 9380

(i) The GCF of 9378 and 9380 is associative

GCF of 9378 and 9380 = GCF of 9380 and 9378

Related Greatest Common Factor of 9378

Related Greatest Common Factor of 9380

Frequently Asked Questions on GCF of 9378 and 9380

1. What is the GCF of 9378 and 9380?

Answer: GCF of 9378 and 9380 is 2.

2. 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.

3. What are the Factors of 9380?

Answer: Factors of 9380 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 67, 70, 134, 140, 268, 335, 469, 670, 938, 1340, 1876, 2345, 4690, 9380. There are 24 integers that are factors of 9380. The greatest factor of 9380 is 9380.

4. How to Find the GCF of 9378 and 9380?

Answer:

Greatest Common Factor of 9378 and 9380 = 2

Step 1: Find the prime factorization of 9378

9378 = 2 x 3 x 3 x 521

Step 2: Find the prime factorization of 9380

9380 = 2 x 2 x 5 x 7 x 67

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 9378 and 9380 is 2