Greatest Common Factor of 5506 and 5512

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, 5512 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5506 and 5512 is 2.

GCF(5506,5512) = 2

GCF of 5506 and 5512

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

GCF of:
and

Greatest Common Factor of 5506 and 5512

GCF of 5506 and 5512 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 5512


2 5512
2 2756
2 1378
13 689
53 53
1

Prime factors of 5512 are 2,13,53. Prime factorization of 5512 in exponential form is:

5512 = 23×131×531

∴ So by taking common prime factors GCF of 5506 and 5512 is 2

Greatest Common Factor of 5506 and 5512 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 5512

List of positive integer factors of 5512 that divides 5512 without a remainder.

1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512

Greatest Common Factor

We found the factors and prime factorization of 5506 and 5512. The biggest common factor number is the GCF number.
So the greatest common factor 5506 and 5512 is 2.

Also check out the Least Common Multiple of 5506 and 5512

Properties of GCF 5506 and 5512

(i) The GCF of 5506 and 5512 is associative

GCF of 5506 and 5512 = GCF of 5512 and 5506

Related Greatest Common Factor of 5506

Related Greatest Common Factor of 5512

Frequently Asked Questions on GCF of 5506 and 5512

1. What is the GCF of 5506 and 5512?

Answer: GCF of 5506 and 5512 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 5512?

Answer: Factors of 5512 are 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512. There are 16 integers that are factors of 5512. The greatest factor of 5512 is 5512.

4. How to Find the GCF of 5506 and 5512?

Answer:

Greatest Common Factor of 5506 and 5512 = 2

Step 1: Find the prime factorization of 5506

5506 = 2 x 2753

Step 2: Find the prime factorization of 5512

5512 = 2 x 2 x 2 x 13 x 53

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 5512 is 2