Greatest Common Factor of 5524 and 5532

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, 5532 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5524 and 5532 is 4.

GCF(5524,5532) = 4

GCF of 5524 and 5532

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

GCF of:
and

Greatest Common Factor of 5524 and 5532

GCF of 5524 and 5532 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 5532


2 5532
2 2766
3 1383
461 461
1

Prime factors of 5532 are 2,3,461. Prime factorization of 5532 in exponential form is:

5532 = 22×31×4611

∴ So by taking common prime factors GCF of 5524 and 5532 is 4

Greatest Common Factor of 5524 and 5532 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 5532

List of positive integer factors of 5532 that divides 5532 without a remainder.

1,2,3,4,6,12,461,922,1383,1844,2766,5532

Greatest Common Factor

We found the factors and prime factorization of 5524 and 5532. The biggest common factor number is the GCF number.
So the greatest common factor 5524 and 5532 is 4.

Also check out the Least Common Multiple of 5524 and 5532

Properties of GCF 5524 and 5532

(i) The GCF of 5524 and 5532 is associative

GCF of 5524 and 5532 = GCF of 5532 and 5524

Related Greatest Common Factor of 5524

Related Greatest Common Factor of 5532

Frequently Asked Questions on GCF of 5524 and 5532

1. What is the GCF of 5524 and 5532?

Answer: GCF of 5524 and 5532 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 5532?

Answer: Factors of 5532 are 1, 2, 3, 4, 6, 12, 461, 922, 1383, 1844, 2766, 5532. There are 12 integers that are factors of 5532. The greatest factor of 5532 is 5532.

4. How to Find the GCF of 5524 and 5532?

Answer:

Greatest Common Factor of 5524 and 5532 = 4

Step 1: Find the prime factorization of 5524

5524 = 2 x 2 x 1381

Step 2: Find the prime factorization of 5532

5532 = 2 x 2 x 3 x 461

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 5532 is 4