Greatest Common Factor of 5304 and 5312

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 5304, 5312 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5304 and 5312 is 8.

GCF(5304,5312) = 8

GCF of 5304 and 5312

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

GCF of:
and

Greatest Common Factor of 5304 and 5312

GCF of 5304 and 5312 is 8

Prime Factorization of 5304


2 5304
2 2652
2 1326
3 663
13 221
17 17
1

Prime factors of 5304 are 2,3,13,17. Prime factorization of 5304 in exponential form is:

5304 = 23×31×131×171

Prime Factorization of 5312


2 5312
2 2656
2 1328
2 664
2 332
2 166
83 83
1

Prime factors of 5312 are 2,83. Prime factorization of 5312 in exponential form is:

5312 = 26×831

∴ So by taking common prime factors GCF of 5304 and 5312 is 8

Greatest Common Factor of 5304 and 5312 by matching factors method

Factors of 5304

List of positive integer factors of 5304 that divides 5304 without a remainder.

1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304

Factors of 5312

List of positive integer factors of 5312 that divides 5312 without a remainder.

1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312

Greatest Common Factor

We found the factors and prime factorization of 5304 and 5312. The biggest common factor number is the GCF number.
So the greatest common factor 5304 and 5312 is 8.

Also check out the Least Common Multiple of 5304 and 5312

Properties of GCF 5304 and 5312

(i) The GCF of 5304 and 5312 is associative

GCF of 5304 and 5312 = GCF of 5312 and 5304

Related Greatest Common Factor of 5304

Related Greatest Common Factor of 5312

Frequently Asked Questions on GCF of 5304 and 5312

1. What is the GCF of 5304 and 5312?

Answer: GCF of 5304 and 5312 is 8.

2. What are the Factors of 5304?

Answer: Factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304. There are 32 integers that are factors of 5304. The greatest factor of 5304 is 5304.

3. What are the Factors of 5312?

Answer: Factors of 5312 are 1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312. There are 14 integers that are factors of 5312. The greatest factor of 5312 is 5312.

4. How to Find the GCF of 5304 and 5312?

Answer:

Greatest Common Factor of 5304 and 5312 = 8

Step 1: Find the prime factorization of 5304

5304 = 2 x 2 x 2 x 3 x 13 x 17

Step 2: Find the prime factorization of 5312

5312 = 2 x 2 x 2 x 2 x 2 x 2 x 83

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5304 and 5312 is 8