Greatest Common Factor of 5522 and 5524

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 5522, 5524 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5522 and 5524 is 2.

GCF(5522,5524) = 2

GCF of 5522 and 5524

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

GCF of:
and

Greatest Common Factor of 5522 and 5524

GCF of 5522 and 5524 is 2

Prime Factorization of 5522


2 5522
11 2761
251 251
1

Prime factors of 5522 are 2,11,251. Prime factorization of 5522 in exponential form is:

5522 = 21×111×2511

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

∴ So by taking common prime factors GCF of 5522 and 5524 is 2

Greatest Common Factor of 5522 and 5524 by matching factors method

Factors of 5522

List of positive integer factors of 5522 that divides 5522 without a remainder.

1,2,11,22,251,502,2761,5522

Factors of 5524

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

1,2,4,1381,2762,5524

Greatest Common Factor

We found the factors and prime factorization of 5522 and 5524. The biggest common factor number is the GCF number.
So the greatest common factor 5522 and 5524 is 2.

Also check out the Least Common Multiple of 5522 and 5524

Properties of GCF 5522 and 5524

(i) The GCF of 5522 and 5524 is associative

GCF of 5522 and 5524 = GCF of 5524 and 5522

Related Greatest Common Factor of 5522

Related Greatest Common Factor of 5524

Frequently Asked Questions on GCF of 5522 and 5524

1. What is the GCF of 5522 and 5524?

Answer: GCF of 5522 and 5524 is 2.

2. What are the Factors of 5522?

Answer: Factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522. There are 8 integers that are factors of 5522. The greatest factor of 5522 is 5522.

3. 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.

4. How to Find the GCF of 5522 and 5524?

Answer:

Greatest Common Factor of 5522 and 5524 = 2

Step 1: Find the prime factorization of 5522

5522 = 2 x 11 x 251

Step 2: Find the prime factorization of 5524

5524 = 2 x 2 x 1381

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5522 and 5524 is 2