Greatest Common Factor of 5355 and 5360

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 5355, 5360 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5355 and 5360 is 5.

GCF(5355,5360) = 5

GCF of 5355 and 5360

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

GCF of:
and

Greatest Common Factor of 5355 and 5360

GCF of 5355 and 5360 is 5

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

Prime Factorization of 5360


2 5360
2 2680
2 1340
2 670
5 335
67 67
1

Prime factors of 5360 are 2,5,67. Prime factorization of 5360 in exponential form is:

5360 = 24×51×671

∴ So by taking common prime factors GCF of 5355 and 5360 is 5

Greatest Common Factor of 5355 and 5360 by matching factors method

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

Factors of 5360

List of positive integer factors of 5360 that divides 5360 without a remainder.

1,2,4,5,8,10,16,20,40,67,80,134,268,335,536,670,1072,1340,2680,5360

Greatest Common Factor

We found the factors and prime factorization of 5355 and 5360. The biggest common factor number is the GCF number.
So the greatest common factor 5355 and 5360 is 5.

Also check out the Least Common Multiple of 5355 and 5360

Properties of GCF 5355 and 5360

(i) The GCF of 5355 and 5360 is associative

GCF of 5355 and 5360 = GCF of 5360 and 5355

Related Greatest Common Factor of 5355

Related Greatest Common Factor of 5360

Frequently Asked Questions on GCF of 5355 and 5360

1. What is the GCF of 5355 and 5360?

Answer: GCF of 5355 and 5360 is 5.

2. 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.

3. What are the Factors of 5360?

Answer: Factors of 5360 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 67, 80, 134, 268, 335, 536, 670, 1072, 1340, 2680, 5360. There are 20 integers that are factors of 5360. The greatest factor of 5360 is 5360.

4. How to Find the GCF of 5355 and 5360?

Answer:

Greatest Common Factor of 5355 and 5360 = 5

Step 1: Find the prime factorization of 5355

5355 = 3 x 3 x 5 x 7 x 17

Step 2: Find the prime factorization of 5360

5360 = 2 x 2 x 2 x 2 x 5 x 67

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 5355 and 5360 is 5