Greatest Common Factor of 5340 and 5343

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 5340, 5343 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5340 and 5343 is 3.

GCF(5340,5343) = 3

GCF of 5340 and 5343

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

GCF of:
and

Greatest Common Factor of 5340 and 5343

GCF of 5340 and 5343 is 3

Prime Factorization of 5340


2 5340
2 2670
3 1335
5 445
89 89
1

Prime factors of 5340 are 2,3,5,89. Prime factorization of 5340 in exponential form is:

5340 = 22×31×51×891

Prime Factorization of 5343


3 5343
13 1781
137 137
1

Prime factors of 5343 are 3,13,137. Prime factorization of 5343 in exponential form is:

5343 = 31×131×1371

∴ So by taking common prime factors GCF of 5340 and 5343 is 3

Greatest Common Factor of 5340 and 5343 by matching factors method

Factors of 5340

List of positive integer factors of 5340 that divides 5340 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340

Factors of 5343

List of positive integer factors of 5343 that divides 5343 without a remainder.

1,3,13,39,137,411,1781,5343

Greatest Common Factor

We found the factors and prime factorization of 5340 and 5343. The biggest common factor number is the GCF number.
So the greatest common factor 5340 and 5343 is 3.

Also check out the Least Common Multiple of 5340 and 5343

Properties of GCF 5340 and 5343

(i) The GCF of 5340 and 5343 is associative

GCF of 5340 and 5343 = GCF of 5343 and 5340

Related Greatest Common Factor of 5340

Related Greatest Common Factor of 5343

Frequently Asked Questions on GCF of 5340 and 5343

1. What is the GCF of 5340 and 5343?

Answer: GCF of 5340 and 5343 is 3.

2. What are the Factors of 5340?

Answer: Factors of 5340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340. There are 24 integers that are factors of 5340. The greatest factor of 5340 is 5340.

3. What are the Factors of 5343?

Answer: Factors of 5343 are 1, 3, 13, 39, 137, 411, 1781, 5343. There are 8 integers that are factors of 5343. The greatest factor of 5343 is 5343.

4. How to Find the GCF of 5340 and 5343?

Answer:

Greatest Common Factor of 5340 and 5343 = 3

Step 1: Find the prime factorization of 5340

5340 = 2 x 2 x 3 x 5 x 89

Step 2: Find the prime factorization of 5343

5343 = 3 x 13 x 137

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 5340 and 5343 is 3