Greatest Common Factor of 5524 and 5528

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 5524, 5528 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5524 and 5528 is 4.

GCF(5524,5528) = 4

GCF of 5524 and 5528

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

GCF of:
and

Greatest Common Factor of 5524 and 5528

GCF of 5524 and 5528 is 4

Prime Factorization of 5524


2 5524
2 2762
1381 1381
1

Prime factors of 5524 are 2,1381. Prime factorization of 5524 in exponential form is:

5524 = 22×13811

Prime Factorization of 5528


2 5528
2 2764
2 1382
691 691
1

Prime factors of 5528 are 2,691. Prime factorization of 5528 in exponential form is:

5528 = 23×6911

∴ So by taking common prime factors GCF of 5524 and 5528 is 4

Greatest Common Factor of 5524 and 5528 by matching factors method

Factors of 5524

List of positive integer factors of 5524 that divides 5524 without a remainder.

1,2,4,1381,2762,5524

Factors of 5528

List of positive integer factors of 5528 that divides 5528 without a remainder.

1,2,4,8,691,1382,2764,5528

Greatest Common Factor

We found the factors and prime factorization of 5524 and 5528. The biggest common factor number is the GCF number.
So the greatest common factor 5524 and 5528 is 4.

Also check out the Least Common Multiple of 5524 and 5528

Properties of GCF 5524 and 5528

(i) The GCF of 5524 and 5528 is associative

GCF of 5524 and 5528 = GCF of 5528 and 5524

Related Greatest Common Factor of 5524

Related Greatest Common Factor of 5528

Frequently Asked Questions on GCF of 5524 and 5528

1. What is the GCF of 5524 and 5528?

Answer: GCF of 5524 and 5528 is 4.

2. What are the Factors of 5524?

Answer: Factors of 5524 are 1, 2, 4, 1381, 2762, 5524. There are 6 integers that are factors of 5524. The greatest factor of 5524 is 5524.

3. What are the Factors of 5528?

Answer: Factors of 5528 are 1, 2, 4, 8, 691, 1382, 2764, 5528. There are 8 integers that are factors of 5528. The greatest factor of 5528 is 5528.

4. How to Find the GCF of 5524 and 5528?

Answer:

Greatest Common Factor of 5524 and 5528 = 4

Step 1: Find the prime factorization of 5524

5524 = 2 x 2 x 1381

Step 2: Find the prime factorization of 5528

5528 = 2 x 2 x 2 x 691

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 5524 and 5528 is 4