Greatest Common Factor of 5312 and 5318

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 5312, 5318 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5312 and 5318 is 2.

GCF(5312,5318) = 2

GCF of 5312 and 5318

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

GCF of:
and

Greatest Common Factor of 5312 and 5318

GCF of 5312 and 5318 is 2

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

Prime Factorization of 5318


2 5318
2659 2659
1

Prime factors of 5318 are 2,2659. Prime factorization of 5318 in exponential form is:

5318 = 21×26591

∴ So by taking common prime factors GCF of 5312 and 5318 is 2

Greatest Common Factor of 5312 and 5318 by matching factors method

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

Factors of 5318

List of positive integer factors of 5318 that divides 5318 without a remainder.

1,2,2659,5318

Greatest Common Factor

We found the factors and prime factorization of 5312 and 5318. The biggest common factor number is the GCF number.
So the greatest common factor 5312 and 5318 is 2.

Also check out the Least Common Multiple of 5312 and 5318

Properties of GCF 5312 and 5318

(i) The GCF of 5312 and 5318 is associative

GCF of 5312 and 5318 = GCF of 5318 and 5312

Related Greatest Common Factor of 5312

Related Greatest Common Factor of 5318

Frequently Asked Questions on GCF of 5312 and 5318

1. What is the GCF of 5312 and 5318?

Answer: GCF of 5312 and 5318 is 2.

2. 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.

3. What are the Factors of 5318?

Answer: Factors of 5318 are 1, 2, 2659, 5318. There are 4 integers that are factors of 5318. The greatest factor of 5318 is 5318.

4. How to Find the GCF of 5312 and 5318?

Answer:

Greatest Common Factor of 5312 and 5318 = 2

Step 1: Find the prime factorization of 5312

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

Step 2: Find the prime factorization of 5318

5318 = 2 x 2659

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 5312 and 5318 is 2