Greatest Common Factor of 5536 and 5538

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 5536, 5538 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5536 and 5538 is 2.

GCF(5536,5538) = 2

GCF of 5536 and 5538

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

GCF of:
and

Greatest Common Factor of 5536 and 5538

GCF of 5536 and 5538 is 2

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

Prime Factorization of 5538


2 5538
3 2769
13 923
71 71
1

Prime factors of 5538 are 2,3,13,71. Prime factorization of 5538 in exponential form is:

5538 = 21×31×131×711

∴ So by taking common prime factors GCF of 5536 and 5538 is 2

Greatest Common Factor of 5536 and 5538 by matching factors method

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

Factors of 5538

List of positive integer factors of 5538 that divides 5538 without a remainder.

1,2,3,6,13,26,39,71,78,142,213,426,923,1846,2769,5538

Greatest Common Factor

We found the factors and prime factorization of 5536 and 5538. The biggest common factor number is the GCF number.
So the greatest common factor 5536 and 5538 is 2.

Also check out the Least Common Multiple of 5536 and 5538

Properties of GCF 5536 and 5538

(i) The GCF of 5536 and 5538 is associative

GCF of 5536 and 5538 = GCF of 5538 and 5536

Related Greatest Common Factor of 5536

Related Greatest Common Factor of 5538

Frequently Asked Questions on GCF of 5536 and 5538

1. What is the GCF of 5536 and 5538?

Answer: GCF of 5536 and 5538 is 2.

2. 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.

3. What are the Factors of 5538?

Answer: Factors of 5538 are 1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538. There are 16 integers that are factors of 5538. The greatest factor of 5538 is 5538.

4. How to Find the GCF of 5536 and 5538?

Answer:

Greatest Common Factor of 5536 and 5538 = 2

Step 1: Find the prime factorization of 5536

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

Step 2: Find the prime factorization of 5538

5538 = 2 x 3 x 13 x 71

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 5536 and 5538 is 2