Greatest Common Factor of 5484 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 5484, 5491 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5484 and 5491 is 1.

GCF(5484,5491) = 1

GCF of 5484 and 5491

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

GCF of:
and

Greatest Common Factor of 5484 and 5491

GCF of 5484 and 5491 is 1

Prime Factorization of 5484


2 5484
2 2742
3 1371
457 457
1

Prime factors of 5484 are 2,3,457. Prime factorization of 5484 in exponential form is:

5484 = 22×31×4571

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 5484 and 5491 is 1

Greatest Common Factor of 5484 and 5491 by matching factors method

Factors of 5484

List of positive integer factors of 5484 that divides 5484 without a remainder.

1,2,3,4,6,12,457,914,1371,1828,2742,5484

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 5484 and 5491. The biggest common factor number is the GCF number.
So the greatest common factor 5484 and 5491 is 1.

Also check out the Least Common Multiple of 5484 and 5491

Properties of GCF 5484 and 5491

(i) The GCF of 5484 and 5491 is associative

GCF of 5484 and 5491 = GCF of 5491 and 5484

Related Greatest Common Factor of 5484

Related Greatest Common Factor of 5491

Frequently Asked Questions on GCF of 5484 and 5491

1. What is the GCF of 5484 and 5491?

Answer: GCF of 5484 and 5491 is 1.

2. What are the Factors of 5484?

Answer: Factors of 5484 are 1, 2, 3, 4, 6, 12, 457, 914, 1371, 1828, 2742, 5484. There are 12 integers that are factors of 5484. The greatest factor of 5484 is 5484.

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 5484 and 5491?

Answer:

Greatest Common Factor of 5484 and 5491 = 1

Step 1: Find the prime factorization of 5484

5484 = 2 x 2 x 3 x 457

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 5484 and 5491 is 1