Greatest Common Factor of 5484 and 5489

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, 5489 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5484 and 5489 is 1.

GCF(5484,5489) = 1

GCF of 5484 and 5489

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

GCF of:
and

Greatest Common Factor of 5484 and 5489

GCF of 5484 and 5489 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 5489


11 5489
499 499
1

Prime factors of 5489 are 11,499. Prime factorization of 5489 in exponential form is:

5489 = 111×4991

∴ So by taking common prime factors GCF of 5484 and 5489 is 1

Greatest Common Factor of 5484 and 5489 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 5489

List of positive integer factors of 5489 that divides 5489 without a remainder.

1,11,499,5489

Greatest Common Factor

We found the factors and prime factorization of 5484 and 5489. The biggest common factor number is the GCF number.
So the greatest common factor 5484 and 5489 is 1.

Also check out the Least Common Multiple of 5484 and 5489

Properties of GCF 5484 and 5489

(i) The GCF of 5484 and 5489 is associative

GCF of 5484 and 5489 = GCF of 5489 and 5484

Related Greatest Common Factor of 5484

Related Greatest Common Factor of 5489

Frequently Asked Questions on GCF of 5484 and 5489

1. What is the GCF of 5484 and 5489?

Answer: GCF of 5484 and 5489 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 5489?

Answer: Factors of 5489 are 1, 11, 499, 5489. There are 4 integers that are factors of 5489. The greatest factor of 5489 is 5489.

4. How to Find the GCF of 5484 and 5489?

Answer:

Greatest Common Factor of 5484 and 5489 = 1

Step 1: Find the prime factorization of 5484

5484 = 2 x 2 x 3 x 457

Step 2: Find the prime factorization of 5489

5489 = 11 x 499

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 5489 is 1