Greatest Common Factor of 5504 and 5508

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 5504, 5508 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5504 and 5508 is 4.

GCF(5504,5508) = 4

GCF of 5504 and 5508

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

GCF of:
and

Greatest Common Factor of 5504 and 5508

GCF of 5504 and 5508 is 4

Prime Factorization of 5504


2 5504
2 2752
2 1376
2 688
2 344
2 172
2 86
43 43
1

Prime factors of 5504 are 2,43. Prime factorization of 5504 in exponential form is:

5504 = 27×431

Prime Factorization of 5508


2 5508
2 2754
3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 5508 are 2,3,17. Prime factorization of 5508 in exponential form is:

5508 = 22×34×171

∴ So by taking common prime factors GCF of 5504 and 5508 is 4

Greatest Common Factor of 5504 and 5508 by matching factors method

Factors of 5504

List of positive integer factors of 5504 that divides 5504 without a remainder.

1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504

Factors of 5508

List of positive integer factors of 5508 that divides 5508 without a remainder.

1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,81,102,108,153,162,204,306,324,459,612,918,1377,1836,2754,5508

Greatest Common Factor

We found the factors and prime factorization of 5504 and 5508. The biggest common factor number is the GCF number.
So the greatest common factor 5504 and 5508 is 4.

Also check out the Least Common Multiple of 5504 and 5508

Properties of GCF 5504 and 5508

(i) The GCF of 5504 and 5508 is associative

GCF of 5504 and 5508 = GCF of 5508 and 5504

Related Greatest Common Factor of 5504

Related Greatest Common Factor of 5508

Frequently Asked Questions on GCF of 5504 and 5508

1. What is the GCF of 5504 and 5508?

Answer: GCF of 5504 and 5508 is 4.

2. What are the Factors of 5504?

Answer: Factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504. There are 16 integers that are factors of 5504. The greatest factor of 5504 is 5504.

3. What are the Factors of 5508?

Answer: Factors of 5508 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, 5508. There are 30 integers that are factors of 5508. The greatest factor of 5508 is 5508.

4. How to Find the GCF of 5504 and 5508?

Answer:

Greatest Common Factor of 5504 and 5508 = 4

Step 1: Find the prime factorization of 5504

5504 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 43

Step 2: Find the prime factorization of 5508

5508 = 2 x 2 x 3 x 3 x 3 x 3 x 17

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 5504 and 5508 is 4