Greatest Common Factor of 5528 and 5536

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 5528, 5536 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5528 and 5536 is 8.

GCF(5528,5536) = 8

GCF of 5528 and 5536

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

GCF of:
and

Greatest Common Factor of 5528 and 5536

GCF of 5528 and 5536 is 8

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

Prime Factorization of 5536


2 5536
2 2768
2 1384
2 692
2 346
173 173
1

Prime factors of 5536 are 2,173. Prime factorization of 5536 in exponential form is:

5536 = 25×1731

∴ So by taking common prime factors GCF of 5528 and 5536 is 8

Greatest Common Factor of 5528 and 5536 by matching factors method

Factors of 5528

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

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

Factors of 5536

List of positive integer factors of 5536 that divides 5536 without a remainder.

1,2,4,8,16,32,173,346,692,1384,2768,5536

Greatest Common Factor

We found the factors and prime factorization of 5528 and 5536. The biggest common factor number is the GCF number.
So the greatest common factor 5528 and 5536 is 8.

Also check out the Least Common Multiple of 5528 and 5536

Properties of GCF 5528 and 5536

(i) The GCF of 5528 and 5536 is associative

GCF of 5528 and 5536 = GCF of 5536 and 5528

Related Greatest Common Factor of 5528

Related Greatest Common Factor of 5536

Frequently Asked Questions on GCF of 5528 and 5536

1. What is the GCF of 5528 and 5536?

Answer: GCF of 5528 and 5536 is 8.

2. 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.

3. What are the Factors of 5536?

Answer: Factors of 5536 are 1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536. There are 12 integers that are factors of 5536. The greatest factor of 5536 is 5536.

4. How to Find the GCF of 5528 and 5536?

Answer:

Greatest Common Factor of 5528 and 5536 = 8

Step 1: Find the prime factorization of 5528

5528 = 2 x 2 x 2 x 691

Step 2: Find the prime factorization of 5536

5536 = 2 x 2 x 2 x 2 x 2 x 173

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5528 and 5536 is 8