Greatest Common Factor of 5544 and 5552

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 5544, 5552 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5544 and 5552 is 8.

GCF(5544,5552) = 8

GCF of 5544 and 5552

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

GCF of:
and

Greatest Common Factor of 5544 and 5552

GCF of 5544 and 5552 is 8

Prime Factorization of 5544


2 5544
2 2772
2 1386
3 693
3 231
7 77
11 11
1

Prime factors of 5544 are 2,3,7,11. Prime factorization of 5544 in exponential form is:

5544 = 23×32×71×111

Prime Factorization of 5552


2 5552
2 2776
2 1388
2 694
347 347
1

Prime factors of 5552 are 2,347. Prime factorization of 5552 in exponential form is:

5552 = 24×3471

∴ So by taking common prime factors GCF of 5544 and 5552 is 8

Greatest Common Factor of 5544 and 5552 by matching factors method

Factors of 5544

List of positive integer factors of 5544 that divides 5544 without a remainder.

1,2,3,4,6,7,8,9,11,12,14,18,21,22,24,28,33,36,42,44,56,63,66,72,77,84,88,99,126,132,154,168,198,231,252,264,308,396,462,504,616,693,792,924,1386,1848,2772,5544

Factors of 5552

List of positive integer factors of 5552 that divides 5552 without a remainder.

1,2,4,8,16,347,694,1388,2776,5552

Greatest Common Factor

We found the factors and prime factorization of 5544 and 5552. The biggest common factor number is the GCF number.
So the greatest common factor 5544 and 5552 is 8.

Also check out the Least Common Multiple of 5544 and 5552

Properties of GCF 5544 and 5552

(i) The GCF of 5544 and 5552 is associative

GCF of 5544 and 5552 = GCF of 5552 and 5544

Related Greatest Common Factor of 5544

Related Greatest Common Factor of 5552

Frequently Asked Questions on GCF of 5544 and 5552

1. What is the GCF of 5544 and 5552?

Answer: GCF of 5544 and 5552 is 8.

2. What are the Factors of 5544?

Answer: Factors of 5544 are 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 126, 132, 154, 168, 198, 231, 252, 264, 308, 396, 462, 504, 616, 693, 792, 924, 1386, 1848, 2772, 5544. There are 48 integers that are factors of 5544. The greatest factor of 5544 is 5544.

3. What are the Factors of 5552?

Answer: Factors of 5552 are 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552. There are 10 integers that are factors of 5552. The greatest factor of 5552 is 5552.

4. How to Find the GCF of 5544 and 5552?

Answer:

Greatest Common Factor of 5544 and 5552 = 8

Step 1: Find the prime factorization of 5544

5544 = 2 x 2 x 2 x 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 5552

5552 = 2 x 2 x 2 x 2 x 347

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 5544 and 5552 is 8