Greatest Common Factor of 5476 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 5476, 5484 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5476 and 5484 is 4.

GCF(5476,5484) = 4

GCF of 5476 and 5484

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

GCF of:
and

Greatest Common Factor of 5476 and 5484

GCF of 5476 and 5484 is 4

Prime Factorization of 5476


2 5476
2 2738
37 1369
37 37
1

Prime factors of 5476 are 2,37. Prime factorization of 5476 in exponential form is:

5476 = 22×372

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 5476 and 5484 is 4

Greatest Common Factor of 5476 and 5484 by matching factors method

Factors of 5476

List of positive integer factors of 5476 that divides 5476 without a remainder.

1,2,4,37,74,148,1369,2738,5476

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 5476 and 5484. The biggest common factor number is the GCF number.
So the greatest common factor 5476 and 5484 is 4.

Also check out the Least Common Multiple of 5476 and 5484

Properties of GCF 5476 and 5484

(i) The GCF of 5476 and 5484 is associative

GCF of 5476 and 5484 = GCF of 5484 and 5476

Related Greatest Common Factor of 5476

Related Greatest Common Factor of 5484

Frequently Asked Questions on GCF of 5476 and 5484

1. What is the GCF of 5476 and 5484?

Answer: GCF of 5476 and 5484 is 4.

2. What are the Factors of 5476?

Answer: Factors of 5476 are 1, 2, 4, 37, 74, 148, 1369, 2738, 5476. There are 9 integers that are factors of 5476. The greatest factor of 5476 is 5476.

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 5476 and 5484?

Answer:

Greatest Common Factor of 5476 and 5484 = 4

Step 1: Find the prime factorization of 5476

5476 = 2 x 2 x 37 x 37

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 5476 and 5484 is 4