Greatest Common Factor of 5490 and 5493

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 5490, 5493 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5490 and 5493 is 3.

GCF(5490,5493) = 3

GCF of 5490 and 5493

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

GCF of:
and

Greatest Common Factor of 5490 and 5493

GCF of 5490 and 5493 is 3

Prime Factorization of 5490


2 5490
3 2745
3 915
5 305
61 61
1

Prime factors of 5490 are 2,3,5,61. Prime factorization of 5490 in exponential form is:

5490 = 21×32×51×611

Prime Factorization of 5493


3 5493
1831 1831
1

Prime factors of 5493 are 3,1831. Prime factorization of 5493 in exponential form is:

5493 = 31×18311

∴ So by taking common prime factors GCF of 5490 and 5493 is 3

Greatest Common Factor of 5490 and 5493 by matching factors method

Factors of 5490

List of positive integer factors of 5490 that divides 5490 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,61,90,122,183,305,366,549,610,915,1098,1830,2745,5490

Factors of 5493

List of positive integer factors of 5493 that divides 5493 without a remainder.

1,3,1831,5493

Greatest Common Factor

We found the factors and prime factorization of 5490 and 5493. The biggest common factor number is the GCF number.
So the greatest common factor 5490 and 5493 is 3.

Also check out the Least Common Multiple of 5490 and 5493

Properties of GCF 5490 and 5493

(i) The GCF of 5490 and 5493 is associative

GCF of 5490 and 5493 = GCF of 5493 and 5490

Related Greatest Common Factor of 5490

Related Greatest Common Factor of 5493

Frequently Asked Questions on GCF of 5490 and 5493

1. What is the GCF of 5490 and 5493?

Answer: GCF of 5490 and 5493 is 3.

2. What are the Factors of 5490?

Answer: Factors of 5490 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490. There are 24 integers that are factors of 5490. The greatest factor of 5490 is 5490.

3. What are the Factors of 5493?

Answer: Factors of 5493 are 1, 3, 1831, 5493. There are 4 integers that are factors of 5493. The greatest factor of 5493 is 5493.

4. How to Find the GCF of 5490 and 5493?

Answer:

Greatest Common Factor of 5490 and 5493 = 3

Step 1: Find the prime factorization of 5490

5490 = 2 x 3 x 3 x 5 x 61

Step 2: Find the prime factorization of 5493

5493 = 3 x 1831

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 5490 and 5493 is 3