Greatest Common Factor of 5484 and 5488

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, 5488 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5484 and 5488 is 4.

GCF(5484,5488) = 4

GCF of 5484 and 5488

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

GCF of:
and

Greatest Common Factor of 5484 and 5488

GCF of 5484 and 5488 is 4

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 5488


2 5488
2 2744
2 1372
2 686
7 343
7 49
7 7
1

Prime factors of 5488 are 2,7. Prime factorization of 5488 in exponential form is:

5488 = 24×73

∴ So by taking common prime factors GCF of 5484 and 5488 is 4

Greatest Common Factor of 5484 and 5488 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 5488

List of positive integer factors of 5488 that divides 5488 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,343,392,686,784,1372,2744,5488

Greatest Common Factor

We found the factors and prime factorization of 5484 and 5488. The biggest common factor number is the GCF number.
So the greatest common factor 5484 and 5488 is 4.

Also check out the Least Common Multiple of 5484 and 5488

Properties of GCF 5484 and 5488

(i) The GCF of 5484 and 5488 is associative

GCF of 5484 and 5488 = GCF of 5488 and 5484

Related Greatest Common Factor of 5484

Related Greatest Common Factor of 5488

Frequently Asked Questions on GCF of 5484 and 5488

1. What is the GCF of 5484 and 5488?

Answer: GCF of 5484 and 5488 is 4.

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 5488?

Answer: Factors of 5488 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488. There are 20 integers that are factors of 5488. The greatest factor of 5488 is 5488.

4. How to Find the GCF of 5484 and 5488?

Answer:

Greatest Common Factor of 5484 and 5488 = 4

Step 1: Find the prime factorization of 5484

5484 = 2 x 2 x 3 x 457

Step 2: Find the prime factorization of 5488

5488 = 2 x 2 x 2 x 2 x 7 x 7 x 7

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5484 and 5488 is 4