Greatest Common Factor of 5320 and 5324

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 5320, 5324 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5320 and 5324 is 4.

GCF(5320,5324) = 4

GCF of 5320 and 5324

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

GCF of:
and

Greatest Common Factor of 5320 and 5324

GCF of 5320 and 5324 is 4

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

Prime Factorization of 5324


2 5324
2 2662
11 1331
11 121
11 11
1

Prime factors of 5324 are 2,11. Prime factorization of 5324 in exponential form is:

5324 = 22×113

∴ So by taking common prime factors GCF of 5320 and 5324 is 4

Greatest Common Factor of 5320 and 5324 by matching factors method

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

Factors of 5324

List of positive integer factors of 5324 that divides 5324 without a remainder.

1,2,4,11,22,44,121,242,484,1331,2662,5324

Greatest Common Factor

We found the factors and prime factorization of 5320 and 5324. The biggest common factor number is the GCF number.
So the greatest common factor 5320 and 5324 is 4.

Also check out the Least Common Multiple of 5320 and 5324

Properties of GCF 5320 and 5324

(i) The GCF of 5320 and 5324 is associative

GCF of 5320 and 5324 = GCF of 5324 and 5320

Related Greatest Common Factor of 5320

Related Greatest Common Factor of 5324

Frequently Asked Questions on GCF of 5320 and 5324

1. What is the GCF of 5320 and 5324?

Answer: GCF of 5320 and 5324 is 4.

2. 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.

3. What are the Factors of 5324?

Answer: Factors of 5324 are 1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324. There are 12 integers that are factors of 5324. The greatest factor of 5324 is 5324.

4. How to Find the GCF of 5320 and 5324?

Answer:

Greatest Common Factor of 5320 and 5324 = 4

Step 1: Find the prime factorization of 5320

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

Step 2: Find the prime factorization of 5324

5324 = 2 x 2 x 11 x 11 x 11

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 5320 and 5324 is 4