Greatest Common Factor of 5348 and 5355

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 5348, 5355 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5348 and 5355 is 7.

GCF(5348,5355) = 7

GCF of 5348 and 5355

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

GCF of:
and

Greatest Common Factor of 5348 and 5355

GCF of 5348 and 5355 is 7

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

Prime Factorization of 5355


3 5355
3 1785
5 595
7 119
17 17
1

Prime factors of 5355 are 3,5,7,17. Prime factorization of 5355 in exponential form is:

5355 = 32×51×71×171

∴ So by taking common prime factors GCF of 5348 and 5355 is 7

Greatest Common Factor of 5348 and 5355 by matching factors method

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

Factors of 5355

List of positive integer factors of 5355 that divides 5355 without a remainder.

1,3,5,7,9,15,17,21,35,45,51,63,85,105,119,153,255,315,357,595,765,1071,1785,5355

Greatest Common Factor

We found the factors and prime factorization of 5348 and 5355. The biggest common factor number is the GCF number.
So the greatest common factor 5348 and 5355 is 7.

Also check out the Least Common Multiple of 5348 and 5355

Properties of GCF 5348 and 5355

(i) The GCF of 5348 and 5355 is associative

GCF of 5348 and 5355 = GCF of 5355 and 5348

Related Greatest Common Factor of 5348

Related Greatest Common Factor of 5355

Frequently Asked Questions on GCF of 5348 and 5355

1. What is the GCF of 5348 and 5355?

Answer: GCF of 5348 and 5355 is 7.

2. 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.

3. What are the Factors of 5355?

Answer: Factors of 5355 are 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355. There are 24 integers that are factors of 5355. The greatest factor of 5355 is 5355.

4. How to Find the GCF of 5348 and 5355?

Answer:

Greatest Common Factor of 5348 and 5355 = 7

Step 1: Find the prime factorization of 5348

5348 = 2 x 2 x 7 x 191

Step 2: Find the prime factorization of 5355

5355 = 3 x 3 x 5 x 7 x 17

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5348 and 5355 is 7