Greatest Common Factor of 5525 and 5530

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 5525, 5530 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5525 and 5530 is 5.

GCF(5525,5530) = 5

GCF of 5525 and 5530

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

GCF of:
and

Greatest Common Factor of 5525 and 5530

GCF of 5525 and 5530 is 5

Prime Factorization of 5525


5 5525
5 1105
13 221
17 17
1

Prime factors of 5525 are 5,13,17. Prime factorization of 5525 in exponential form is:

5525 = 52×131×171

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

∴ So by taking common prime factors GCF of 5525 and 5530 is 5

Greatest Common Factor of 5525 and 5530 by matching factors method

Factors of 5525

List of positive integer factors of 5525 that divides 5525 without a remainder.

1,5,13,17,25,65,85,221,325,425,1105,5525

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

Greatest Common Factor

We found the factors and prime factorization of 5525 and 5530. The biggest common factor number is the GCF number.
So the greatest common factor 5525 and 5530 is 5.

Also check out the Least Common Multiple of 5525 and 5530

Properties of GCF 5525 and 5530

(i) The GCF of 5525 and 5530 is associative

GCF of 5525 and 5530 = GCF of 5530 and 5525

Related Greatest Common Factor of 5525

Related Greatest Common Factor of 5530

Frequently Asked Questions on GCF of 5525 and 5530

1. What is the GCF of 5525 and 5530?

Answer: GCF of 5525 and 5530 is 5.

2. What are the Factors of 5525?

Answer: Factors of 5525 are 1, 5, 13, 17, 25, 65, 85, 221, 325, 425, 1105, 5525. There are 12 integers that are factors of 5525. The greatest factor of 5525 is 5525.

3. 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.

4. How to Find the GCF of 5525 and 5530?

Answer:

Greatest Common Factor of 5525 and 5530 = 5

Step 1: Find the prime factorization of 5525

5525 = 5 x 5 x 13 x 17

Step 2: Find the prime factorization of 5530

5530 = 2 x 5 x 7 x 79

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 5525 and 5530 is 5