Greatest Common Factor of 5509 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 5509, 5512 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5509 and 5512 is 1.

GCF(5509,5512) = 1

GCF of 5509 and 5512

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

GCF of:
and

Greatest Common Factor of 5509 and 5512

GCF of 5509 and 5512 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 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 5509 and 5512 is 1

Greatest Common Factor of 5509 and 5512 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 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 5509 and 5512. The biggest common factor number is the GCF number.
So the greatest common factor 5509 and 5512 is 1.

Also check out the Least Common Multiple of 5509 and 5512

Properties of GCF 5509 and 5512

(i) The GCF of 5509 and 5512 is associative

GCF of 5509 and 5512 = GCF of 5512 and 5509

Related Greatest Common Factor of 5509

Related Greatest Common Factor of 5512

Frequently Asked Questions on GCF of 5509 and 5512

1. What is the GCF of 5509 and 5512?

Answer: GCF of 5509 and 5512 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 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 5509 and 5512?

Answer:

Greatest Common Factor of 5509 and 5512 = 1

Step 1: Find the prime factorization of 5509

5509 = 7 x 787

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 = = 1

Step 4: Therefore, the greatest common factor of 5509 and 5512 is 1