Greatest Common Factor of 5506 and 5513

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, 5513 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5506 and 5513 is 1.

GCF(5506,5513) = 1

GCF of 5506 and 5513

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

GCF of:
and

Greatest Common Factor of 5506 and 5513

GCF of 5506 and 5513 is 1

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 5513


37 5513
149 149
1

Prime factors of 5513 are 37,149. Prime factorization of 5513 in exponential form is:

5513 = 371×1491

∴ So by taking common prime factors GCF of 5506 and 5513 is 1

Greatest Common Factor of 5506 and 5513 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 5513

List of positive integer factors of 5513 that divides 5513 without a remainder.

1,37,149,5513

Greatest Common Factor

We found the factors and prime factorization of 5506 and 5513. The biggest common factor number is the GCF number.
So the greatest common factor 5506 and 5513 is 1.

Also check out the Least Common Multiple of 5506 and 5513

Properties of GCF 5506 and 5513

(i) The GCF of 5506 and 5513 is associative

GCF of 5506 and 5513 = GCF of 5513 and 5506

Related Greatest Common Factor of 5506

Related Greatest Common Factor of 5513

Frequently Asked Questions on GCF of 5506 and 5513

1. What is the GCF of 5506 and 5513?

Answer: GCF of 5506 and 5513 is 1.

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 5513?

Answer: Factors of 5513 are 1, 37, 149, 5513. There are 4 integers that are factors of 5513. The greatest factor of 5513 is 5513.

4. How to Find the GCF of 5506 and 5513?

Answer:

Greatest Common Factor of 5506 and 5513 = 1

Step 1: Find the prime factorization of 5506

5506 = 2 x 2753

Step 2: Find the prime factorization of 5513

5513 = 37 x 149

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5506 and 5513 is 1