Greatest Common Factor of 5480 and 5484

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 5480, 5484 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5480 and 5484 is 4.

GCF(5480,5484) = 4

GCF of 5480 and 5484

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

GCF of:
and

Greatest Common Factor of 5480 and 5484

GCF of 5480 and 5484 is 4

Prime Factorization of 5480


2 5480
2 2740
2 1370
5 685
137 137
1

Prime factors of 5480 are 2,5,137. Prime factorization of 5480 in exponential form is:

5480 = 23×51×1371

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

∴ So by taking common prime factors GCF of 5480 and 5484 is 4

Greatest Common Factor of 5480 and 5484 by matching factors method

Factors of 5480

List of positive integer factors of 5480 that divides 5480 without a remainder.

1,2,4,5,8,10,20,40,137,274,548,685,1096,1370,2740,5480

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

Greatest Common Factor

We found the factors and prime factorization of 5480 and 5484. The biggest common factor number is the GCF number.
So the greatest common factor 5480 and 5484 is 4.

Also check out the Least Common Multiple of 5480 and 5484

Properties of GCF 5480 and 5484

(i) The GCF of 5480 and 5484 is associative

GCF of 5480 and 5484 = GCF of 5484 and 5480

Related Greatest Common Factor of 5480

Related Greatest Common Factor of 5484

Frequently Asked Questions on GCF of 5480 and 5484

1. What is the GCF of 5480 and 5484?

Answer: GCF of 5480 and 5484 is 4.

2. What are the Factors of 5480?

Answer: Factors of 5480 are 1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740, 5480. There are 16 integers that are factors of 5480. The greatest factor of 5480 is 5480.

3. 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.

4. How to Find the GCF of 5480 and 5484?

Answer:

Greatest Common Factor of 5480 and 5484 = 4

Step 1: Find the prime factorization of 5480

5480 = 2 x 2 x 2 x 5 x 137

Step 2: Find the prime factorization of 5484

5484 = 2 x 2 x 3 x 457

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 5480 and 5484 is 4