Greatest Common Factor of 5506 and 5510

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 5506, 5510 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5506 and 5510 is 2.

GCF(5506,5510) = 2

GCF of 5506 and 5510

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

GCF of:
and

Greatest Common Factor of 5506 and 5510

GCF of 5506 and 5510 is 2

Prime Factorization of 5506


2 5506
2753 2753
1

Prime factors of 5506 are 2,2753. Prime factorization of 5506 in exponential form is:

5506 = 21×27531

Prime Factorization of 5510


2 5510
5 2755
19 551
29 29
1

Prime factors of 5510 are 2,5,19,29. Prime factorization of 5510 in exponential form is:

5510 = 21×51×191×291

∴ So by taking common prime factors GCF of 5506 and 5510 is 2

Greatest Common Factor of 5506 and 5510 by matching factors method

Factors of 5506

List of positive integer factors of 5506 that divides 5506 without a remainder.

1,2,2753,5506

Factors of 5510

List of positive integer factors of 5510 that divides 5510 without a remainder.

1,2,5,10,19,29,38,58,95,145,190,290,551,1102,2755,5510

Greatest Common Factor

We found the factors and prime factorization of 5506 and 5510. The biggest common factor number is the GCF number.
So the greatest common factor 5506 and 5510 is 2.

Also check out the Least Common Multiple of 5506 and 5510

Properties of GCF 5506 and 5510

(i) The GCF of 5506 and 5510 is associative

GCF of 5506 and 5510 = GCF of 5510 and 5506

Related Greatest Common Factor of 5506

Related Greatest Common Factor of 5510

Frequently Asked Questions on GCF of 5506 and 5510

1. What is the GCF of 5506 and 5510?

Answer: GCF of 5506 and 5510 is 2.

2. What are the Factors of 5506?

Answer: Factors of 5506 are 1, 2, 2753, 5506. There are 4 integers that are factors of 5506. The greatest factor of 5506 is 5506.

3. What are the Factors of 5510?

Answer: Factors of 5510 are 1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755, 5510. There are 16 integers that are factors of 5510. The greatest factor of 5510 is 5510.

4. How to Find the GCF of 5506 and 5510?

Answer:

Greatest Common Factor of 5506 and 5510 = 2

Step 1: Find the prime factorization of 5506

5506 = 2 x 2753

Step 2: Find the prime factorization of 5510

5510 = 2 x 5 x 19 x 29

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5506 and 5510 is 2