Greatest Common Factor of 9348 and 9356

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 9348, 9356 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9348 and 9356 is 4.

GCF(9348,9356) = 4

GCF of 9348 and 9356

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

GCF of:
and

Greatest Common Factor of 9348 and 9356

GCF of 9348 and 9356 is 4

Prime Factorization of 9348


2 9348
2 4674
3 2337
19 779
41 41
1

Prime factors of 9348 are 2,3,19,41. Prime factorization of 9348 in exponential form is:

9348 = 22×31×191×411

Prime Factorization of 9356


2 9356
2 4678
2339 2339
1

Prime factors of 9356 are 2,2339. Prime factorization of 9356 in exponential form is:

9356 = 22×23391

∴ So by taking common prime factors GCF of 9348 and 9356 is 4

Greatest Common Factor of 9348 and 9356 by matching factors method

Factors of 9348

List of positive integer factors of 9348 that divides 9348 without a remainder.

1,2,3,4,6,12,19,38,41,57,76,82,114,123,164,228,246,492,779,1558,2337,3116,4674,9348

Factors of 9356

List of positive integer factors of 9356 that divides 9356 without a remainder.

1,2,4,2339,4678,9356

Greatest Common Factor

We found the factors and prime factorization of 9348 and 9356. The biggest common factor number is the GCF number.
So the greatest common factor 9348 and 9356 is 4.

Also check out the Least Common Multiple of 9348 and 9356

Properties of GCF 9348 and 9356

(i) The GCF of 9348 and 9356 is associative

GCF of 9348 and 9356 = GCF of 9356 and 9348

Related Greatest Common Factor of 9348

Related Greatest Common Factor of 9356

Frequently Asked Questions on GCF of 9348 and 9356

1. What is the GCF of 9348 and 9356?

Answer: GCF of 9348 and 9356 is 4.

2. What are the Factors of 9348?

Answer: Factors of 9348 are 1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348. There are 24 integers that are factors of 9348. The greatest factor of 9348 is 9348.

3. What are the Factors of 9356?

Answer: Factors of 9356 are 1, 2, 4, 2339, 4678, 9356. There are 6 integers that are factors of 9356. The greatest factor of 9356 is 9356.

4. How to Find the GCF of 9348 and 9356?

Answer:

Greatest Common Factor of 9348 and 9356 = 4

Step 1: Find the prime factorization of 9348

9348 = 2 x 2 x 3 x 19 x 41

Step 2: Find the prime factorization of 9356

9356 = 2 x 2 x 2339

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9348 and 9356 is 4