Greatest Common Factor of 5490 and 5491

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, 5491 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5490 and 5491 is 1.

GCF(5490,5491) = 1

GCF of 5490 and 5491

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

GCF of:
and

Greatest Common Factor of 5490 and 5491

GCF of 5490 and 5491 is 1

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 5491


17 5491
17 323
19 19
1

Prime factors of 5491 are 17,19. Prime factorization of 5491 in exponential form is:

5491 = 172×191

∴ So by taking common prime factors GCF of 5490 and 5491 is 1

Greatest Common Factor of 5490 and 5491 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 5491

List of positive integer factors of 5491 that divides 5491 without a remainder.

1,17,19,289,323,5491

Greatest Common Factor

We found the factors and prime factorization of 5490 and 5491. The biggest common factor number is the GCF number.
So the greatest common factor 5490 and 5491 is 1.

Also check out the Least Common Multiple of 5490 and 5491

Properties of GCF 5490 and 5491

(i) The GCF of 5490 and 5491 is associative

GCF of 5490 and 5491 = GCF of 5491 and 5490

Related Greatest Common Factor of 5490

Related Greatest Common Factor of 5491

Frequently Asked Questions on GCF of 5490 and 5491

1. What is the GCF of 5490 and 5491?

Answer: GCF of 5490 and 5491 is 1.

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 5491?

Answer: Factors of 5491 are 1, 17, 19, 289, 323, 5491. There are 6 integers that are factors of 5491. The greatest factor of 5491 is 5491.

4. How to Find the GCF of 5490 and 5491?

Answer:

Greatest Common Factor of 5490 and 5491 = 1

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 5491

5491 = 17 x 17 x 19

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 5490 and 5491 is 1