Greatest Common Factor of 5530 and 5535

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 5530, 5535 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5530 and 5535 is 5.

GCF(5530,5535) = 5

GCF of 5530 and 5535

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

GCF of:
and

Greatest Common Factor of 5530 and 5535

GCF of 5530 and 5535 is 5

Prime Factorization of 5530


2 5530
5 2765
7 553
79 79
1

Prime factors of 5530 are 2,5,7,79. Prime factorization of 5530 in exponential form is:

5530 = 21×51×71×791

Prime Factorization of 5535


3 5535
3 1845
3 615
5 205
41 41
1

Prime factors of 5535 are 3,5,41. Prime factorization of 5535 in exponential form is:

5535 = 33×51×411

∴ So by taking common prime factors GCF of 5530 and 5535 is 5

Greatest Common Factor of 5530 and 5535 by matching factors method

Factors of 5530

List of positive integer factors of 5530 that divides 5530 without a remainder.

1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530

Factors of 5535

List of positive integer factors of 5535 that divides 5535 without a remainder.

1,3,5,9,15,27,41,45,123,135,205,369,615,1107,1845,5535

Greatest Common Factor

We found the factors and prime factorization of 5530 and 5535. The biggest common factor number is the GCF number.
So the greatest common factor 5530 and 5535 is 5.

Also check out the Least Common Multiple of 5530 and 5535

Properties of GCF 5530 and 5535

(i) The GCF of 5530 and 5535 is associative

GCF of 5530 and 5535 = GCF of 5535 and 5530

Related Greatest Common Factor of 5530

Related Greatest Common Factor of 5535

Frequently Asked Questions on GCF of 5530 and 5535

1. What is the GCF of 5530 and 5535?

Answer: GCF of 5530 and 5535 is 5.

2. What are the Factors of 5530?

Answer: Factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530. There are 16 integers that are factors of 5530. The greatest factor of 5530 is 5530.

3. What are the Factors of 5535?

Answer: Factors of 5535 are 1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535. There are 16 integers that are factors of 5535. The greatest factor of 5535 is 5535.

4. How to Find the GCF of 5530 and 5535?

Answer:

Greatest Common Factor of 5530 and 5535 = 5

Step 1: Find the prime factorization of 5530

5530 = 2 x 5 x 7 x 79

Step 2: Find the prime factorization of 5535

5535 = 3 x 3 x 3 x 5 x 41

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 5530 and 5535 is 5