Greatest Common Factor of 5504 and 5509

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 5504, 5509 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5504 and 5509 is 1.

GCF(5504,5509) = 1

GCF of 5504 and 5509

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

GCF of:
and

Greatest Common Factor of 5504 and 5509

GCF of 5504 and 5509 is 1

Prime Factorization of 5504


2 5504
2 2752
2 1376
2 688
2 344
2 172
2 86
43 43
1

Prime factors of 5504 are 2,43. Prime factorization of 5504 in exponential form is:

5504 = 27×431

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

∴ So by taking common prime factors GCF of 5504 and 5509 is 1

Greatest Common Factor of 5504 and 5509 by matching factors method

Factors of 5504

List of positive integer factors of 5504 that divides 5504 without a remainder.

1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504

Factors of 5509

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

1,7,787,5509

Greatest Common Factor

We found the factors and prime factorization of 5504 and 5509. The biggest common factor number is the GCF number.
So the greatest common factor 5504 and 5509 is 1.

Also check out the Least Common Multiple of 5504 and 5509

Properties of GCF 5504 and 5509

(i) The GCF of 5504 and 5509 is associative

GCF of 5504 and 5509 = GCF of 5509 and 5504

Related Greatest Common Factor of 5504

Related Greatest Common Factor of 5509

Frequently Asked Questions on GCF of 5504 and 5509

1. What is the GCF of 5504 and 5509?

Answer: GCF of 5504 and 5509 is 1.

2. What are the Factors of 5504?

Answer: Factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504. There are 16 integers that are factors of 5504. The greatest factor of 5504 is 5504.

3. 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.

4. How to Find the GCF of 5504 and 5509?

Answer:

Greatest Common Factor of 5504 and 5509 = 1

Step 1: Find the prime factorization of 5504

5504 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 43

Step 2: Find the prime factorization of 5509

5509 = 7 x 787

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 5504 and 5509 is 1