Greatest Common Factor of 5315 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 5315, 5320 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5315 and 5320 is 5.

GCF(5315,5320) = 5

GCF of 5315 and 5320

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

GCF of:
and

Greatest Common Factor of 5315 and 5320

GCF of 5315 and 5320 is 5

Prime Factorization of 5315


5 5315
1063 1063
1

Prime factors of 5315 are 5,1063. Prime factorization of 5315 in exponential form is:

5315 = 51×10631

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 5315 and 5320 is 5

Greatest Common Factor of 5315 and 5320 by matching factors method

Factors of 5315

List of positive integer factors of 5315 that divides 5315 without a remainder.

1,5,1063,5315

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 5315 and 5320. The biggest common factor number is the GCF number.
So the greatest common factor 5315 and 5320 is 5.

Also check out the Least Common Multiple of 5315 and 5320

Properties of GCF 5315 and 5320

(i) The GCF of 5315 and 5320 is associative

GCF of 5315 and 5320 = GCF of 5320 and 5315

Related Greatest Common Factor of 5315

Related Greatest Common Factor of 5320

Frequently Asked Questions on GCF of 5315 and 5320

1. What is the GCF of 5315 and 5320?

Answer: GCF of 5315 and 5320 is 5.

2. What are the Factors of 5315?

Answer: Factors of 5315 are 1, 5, 1063, 5315. There are 4 integers that are factors of 5315. The greatest factor of 5315 is 5315.

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 5315 and 5320?

Answer:

Greatest Common Factor of 5315 and 5320 = 5

Step 1: Find the prime factorization of 5315

5315 = 5 x 1063

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 = 5

Step 4: Therefore, the greatest common factor of 5315 and 5320 is 5