Greatest Common Factor of 5316 and 5320

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 5316, 5320 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5316 and 5320 is 4.

GCF(5316,5320) = 4

GCF of 5316 and 5320

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

GCF of:
and

Greatest Common Factor of 5316 and 5320

GCF of 5316 and 5320 is 4

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

Prime Factorization of 5320


2 5320
2 2660
2 1330
5 665
7 133
19 19
1

Prime factors of 5320 are 2,5,7,19. Prime factorization of 5320 in exponential form is:

5320 = 23×51×71×191

∴ So by taking common prime factors GCF of 5316 and 5320 is 4

Greatest Common Factor of 5316 and 5320 by matching factors method

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

Factors of 5320

List of positive integer factors of 5320 that divides 5320 without a remainder.

1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320

Greatest Common Factor

We found the factors and prime factorization of 5316 and 5320. The biggest common factor number is the GCF number.
So the greatest common factor 5316 and 5320 is 4.

Also check out the Least Common Multiple of 5316 and 5320

Properties of GCF 5316 and 5320

(i) The GCF of 5316 and 5320 is associative

GCF of 5316 and 5320 = GCF of 5320 and 5316

Related Greatest Common Factor of 5316

Related Greatest Common Factor of 5320

Frequently Asked Questions on GCF of 5316 and 5320

1. What is the GCF of 5316 and 5320?

Answer: GCF of 5316 and 5320 is 4.

2. 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.

3. What are the Factors of 5320?

Answer: Factors of 5320 are 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320. There are 32 integers that are factors of 5320. The greatest factor of 5320 is 5320.

4. How to Find the GCF of 5316 and 5320?

Answer:

Greatest Common Factor of 5316 and 5320 = 4

Step 1: Find the prime factorization of 5316

5316 = 2 x 2 x 3 x 443

Step 2: Find the prime factorization of 5320

5320 = 2 x 2 x 2 x 5 x 7 x 19

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 5316 and 5320 is 4