Greatest Common Factor of 5308 and 5316

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 5308, 5316 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5308 and 5316 is 4.

GCF(5308,5316) = 4

GCF of 5308 and 5316

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

GCF of:
and

Greatest Common Factor of 5308 and 5316

GCF of 5308 and 5316 is 4

Prime Factorization of 5308


2 5308
2 2654
1327 1327
1

Prime factors of 5308 are 2,1327. Prime factorization of 5308 in exponential form is:

5308 = 22×13271

Prime Factorization of 5316


2 5316
2 2658
3 1329
443 443
1

Prime factors of 5316 are 2,3,443. Prime factorization of 5316 in exponential form is:

5316 = 22×31×4431

∴ So by taking common prime factors GCF of 5308 and 5316 is 4

Greatest Common Factor of 5308 and 5316 by matching factors method

Factors of 5308

List of positive integer factors of 5308 that divides 5308 without a remainder.

1,2,4,1327,2654,5308

Factors of 5316

List of positive integer factors of 5316 that divides 5316 without a remainder.

1,2,3,4,6,12,443,886,1329,1772,2658,5316

Greatest Common Factor

We found the factors and prime factorization of 5308 and 5316. The biggest common factor number is the GCF number.
So the greatest common factor 5308 and 5316 is 4.

Also check out the Least Common Multiple of 5308 and 5316

Properties of GCF 5308 and 5316

(i) The GCF of 5308 and 5316 is associative

GCF of 5308 and 5316 = GCF of 5316 and 5308

Related Greatest Common Factor of 5308

Related Greatest Common Factor of 5316

Frequently Asked Questions on GCF of 5308 and 5316

1. What is the GCF of 5308 and 5316?

Answer: GCF of 5308 and 5316 is 4.

2. What are the Factors of 5308?

Answer: Factors of 5308 are 1, 2, 4, 1327, 2654, 5308. There are 6 integers that are factors of 5308. The greatest factor of 5308 is 5308.

3. What are the Factors of 5316?

Answer: Factors of 5316 are 1, 2, 3, 4, 6, 12, 443, 886, 1329, 1772, 2658, 5316. There are 12 integers that are factors of 5316. The greatest factor of 5316 is 5316.

4. How to Find the GCF of 5308 and 5316?

Answer:

Greatest Common Factor of 5308 and 5316 = 4

Step 1: Find the prime factorization of 5308

5308 = 2 x 2 x 1327

Step 2: Find the prime factorization of 5316

5316 = 2 x 2 x 3 x 443

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 5308 and 5316 is 4