Greatest Common Factor of 9312 and 9316

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 9312, 9316 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9312 and 9316 is 4.

GCF(9312,9316) = 4

GCF of 9312 and 9316

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

GCF of:
and

Greatest Common Factor of 9312 and 9316

GCF of 9312 and 9316 is 4

Prime Factorization of 9312


2 9312
2 4656
2 2328
2 1164
2 582
3 291
97 97
1

Prime factors of 9312 are 2,3,97. Prime factorization of 9312 in exponential form is:

9312 = 25×31×971

Prime Factorization of 9316


2 9316
2 4658
17 2329
137 137
1

Prime factors of 9316 are 2,17,137. Prime factorization of 9316 in exponential form is:

9316 = 22×171×1371

∴ So by taking common prime factors GCF of 9312 and 9316 is 4

Greatest Common Factor of 9312 and 9316 by matching factors method

Factors of 9312

List of positive integer factors of 9312 that divides 9312 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,97,194,291,388,582,776,1164,1552,2328,3104,4656,9312

Factors of 9316

List of positive integer factors of 9316 that divides 9316 without a remainder.

1,2,4,17,34,68,137,274,548,2329,4658,9316

Greatest Common Factor

We found the factors and prime factorization of 9312 and 9316. The biggest common factor number is the GCF number.
So the greatest common factor 9312 and 9316 is 4.

Also check out the Least Common Multiple of 9312 and 9316

Properties of GCF 9312 and 9316

(i) The GCF of 9312 and 9316 is associative

GCF of 9312 and 9316 = GCF of 9316 and 9312

Related Greatest Common Factor of 9312

Related Greatest Common Factor of 9316

Frequently Asked Questions on GCF of 9312 and 9316

1. What is the GCF of 9312 and 9316?

Answer: GCF of 9312 and 9316 is 4.

2. What are the Factors of 9312?

Answer: Factors of 9312 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 9312. There are 24 integers that are factors of 9312. The greatest factor of 9312 is 9312.

3. What are the Factors of 9316?

Answer: Factors of 9316 are 1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316. There are 12 integers that are factors of 9316. The greatest factor of 9316 is 9316.

4. How to Find the GCF of 9312 and 9316?

Answer:

Greatest Common Factor of 9312 and 9316 = 4

Step 1: Find the prime factorization of 9312

9312 = 2 x 2 x 2 x 2 x 2 x 3 x 97

Step 2: Find the prime factorization of 9316

9316 = 2 x 2 x 17 x 137

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 9312 and 9316 is 4