Greatest Common Factor of 5509 and 5517

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 5509, 5517 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5509 and 5517 is 1.

GCF(5509,5517) = 1

GCF of 5509 and 5517

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

GCF of:
and

Greatest Common Factor of 5509 and 5517

GCF of 5509 and 5517 is 1

Prime Factorization of 5509


7 5509
787 787
1

Prime factors of 5509 are 7,787. Prime factorization of 5509 in exponential form is:

5509 = 71×7871

Prime Factorization of 5517


3 5517
3 1839
613 613
1

Prime factors of 5517 are 3,613. Prime factorization of 5517 in exponential form is:

5517 = 32×6131

∴ So by taking common prime factors GCF of 5509 and 5517 is 1

Greatest Common Factor of 5509 and 5517 by matching factors method

Factors of 5509

List of positive integer factors of 5509 that divides 5509 without a remainder.

1,7,787,5509

Factors of 5517

List of positive integer factors of 5517 that divides 5517 without a remainder.

1,3,9,613,1839,5517

Greatest Common Factor

We found the factors and prime factorization of 5509 and 5517. The biggest common factor number is the GCF number.
So the greatest common factor 5509 and 5517 is 1.

Also check out the Least Common Multiple of 5509 and 5517

Properties of GCF 5509 and 5517

(i) The GCF of 5509 and 5517 is associative

GCF of 5509 and 5517 = GCF of 5517 and 5509

Related Greatest Common Factor of 5509

Related Greatest Common Factor of 5517

Frequently Asked Questions on GCF of 5509 and 5517

1. What is the GCF of 5509 and 5517?

Answer: GCF of 5509 and 5517 is 1.

2. What are the Factors of 5509?

Answer: Factors of 5509 are 1, 7, 787, 5509. There are 4 integers that are factors of 5509. The greatest factor of 5509 is 5509.

3. What are the Factors of 5517?

Answer: Factors of 5517 are 1, 3, 9, 613, 1839, 5517. There are 6 integers that are factors of 5517. The greatest factor of 5517 is 5517.

4. How to Find the GCF of 5509 and 5517?

Answer:

Greatest Common Factor of 5509 and 5517 = 1

Step 1: Find the prime factorization of 5509

5509 = 7 x 787

Step 2: Find the prime factorization of 5517

5517 = 3 x 3 x 613

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 5509 and 5517 is 1