Greatest Common Factor of 5340 and 5348

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, 5348 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5340 and 5348 is 4.

GCF(5340,5348) = 4

GCF of 5340 and 5348

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

GCF of:
and

Greatest Common Factor of 5340 and 5348

GCF of 5340 and 5348 is 4

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 5348


2 5348
2 2674
7 1337
191 191
1

Prime factors of 5348 are 2,7,191. Prime factorization of 5348 in exponential form is:

5348 = 22×71×1911

∴ So by taking common prime factors GCF of 5340 and 5348 is 4

Greatest Common Factor of 5340 and 5348 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 5348

List of positive integer factors of 5348 that divides 5348 without a remainder.

1,2,4,7,14,28,191,382,764,1337,2674,5348

Greatest Common Factor

We found the factors and prime factorization of 5340 and 5348. The biggest common factor number is the GCF number.
So the greatest common factor 5340 and 5348 is 4.

Also check out the Least Common Multiple of 5340 and 5348

Properties of GCF 5340 and 5348

(i) The GCF of 5340 and 5348 is associative

GCF of 5340 and 5348 = GCF of 5348 and 5340

Related Greatest Common Factor of 5340

Related Greatest Common Factor of 5348

Frequently Asked Questions on GCF of 5340 and 5348

1. What is the GCF of 5340 and 5348?

Answer: GCF of 5340 and 5348 is 4.

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 5348?

Answer: Factors of 5348 are 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348. There are 12 integers that are factors of 5348. The greatest factor of 5348 is 5348.

4. How to Find the GCF of 5340 and 5348?

Answer:

Greatest Common Factor of 5340 and 5348 = 4

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 5348

5348 = 2 x 2 x 7 x 191

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 5340 and 5348 is 4