Greatest Common Factor of 5499 and 5505

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 5499, 5505 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5499 and 5505 is 3.

GCF(5499,5505) = 3

GCF of 5499 and 5505

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

GCF of:
and

Greatest Common Factor of 5499 and 5505

GCF of 5499 and 5505 is 3

Prime Factorization of 5499


3 5499
3 1833
13 611
47 47
1

Prime factors of 5499 are 3,13,47. Prime factorization of 5499 in exponential form is:

5499 = 32×131×471

Prime Factorization of 5505


3 5505
5 1835
367 367
1

Prime factors of 5505 are 3,5,367. Prime factorization of 5505 in exponential form is:

5505 = 31×51×3671

∴ So by taking common prime factors GCF of 5499 and 5505 is 3

Greatest Common Factor of 5499 and 5505 by matching factors method

Factors of 5499

List of positive integer factors of 5499 that divides 5499 without a remainder.

1,3,9,13,39,47,117,141,423,611,1833,5499

Factors of 5505

List of positive integer factors of 5505 that divides 5505 without a remainder.

1,3,5,15,367,1101,1835,5505

Greatest Common Factor

We found the factors and prime factorization of 5499 and 5505. The biggest common factor number is the GCF number.
So the greatest common factor 5499 and 5505 is 3.

Also check out the Least Common Multiple of 5499 and 5505

Properties of GCF 5499 and 5505

(i) The GCF of 5499 and 5505 is associative

GCF of 5499 and 5505 = GCF of 5505 and 5499

Related Greatest Common Factor of 5499

Related Greatest Common Factor of 5505

Frequently Asked Questions on GCF of 5499 and 5505

1. What is the GCF of 5499 and 5505?

Answer: GCF of 5499 and 5505 is 3.

2. What are the Factors of 5499?

Answer: Factors of 5499 are 1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499. There are 12 integers that are factors of 5499. The greatest factor of 5499 is 5499.

3. What are the Factors of 5505?

Answer: Factors of 5505 are 1, 3, 5, 15, 367, 1101, 1835, 5505. There are 8 integers that are factors of 5505. The greatest factor of 5505 is 5505.

4. How to Find the GCF of 5499 and 5505?

Answer:

Greatest Common Factor of 5499 and 5505 = 3

Step 1: Find the prime factorization of 5499

5499 = 3 x 3 x 13 x 47

Step 2: Find the prime factorization of 5505

5505 = 3 x 5 x 367

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5499 and 5505 is 3