Greatest Common Factor of 5496 and 5500

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 5496, 5500 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5496 and 5500 is 4.

GCF(5496,5500) = 4

GCF of 5496 and 5500

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

GCF of:
and

Greatest Common Factor of 5496 and 5500

GCF of 5496 and 5500 is 4

Prime Factorization of 5496


2 5496
2 2748
2 1374
3 687
229 229
1

Prime factors of 5496 are 2,3,229. Prime factorization of 5496 in exponential form is:

5496 = 23×31×2291

Prime Factorization of 5500


2 5500
2 2750
5 1375
5 275
5 55
11 11
1

Prime factors of 5500 are 2,5,11. Prime factorization of 5500 in exponential form is:

5500 = 22×53×111

∴ So by taking common prime factors GCF of 5496 and 5500 is 4

Greatest Common Factor of 5496 and 5500 by matching factors method

Factors of 5496

List of positive integer factors of 5496 that divides 5496 without a remainder.

1,2,3,4,6,8,12,24,229,458,687,916,1374,1832,2748,5496

Factors of 5500

List of positive integer factors of 5500 that divides 5500 without a remainder.

1,2,4,5,10,11,20,22,25,44,50,55,100,110,125,220,250,275,500,550,1100,1375,2750,5500

Greatest Common Factor

We found the factors and prime factorization of 5496 and 5500. The biggest common factor number is the GCF number.
So the greatest common factor 5496 and 5500 is 4.

Also check out the Least Common Multiple of 5496 and 5500

Properties of GCF 5496 and 5500

(i) The GCF of 5496 and 5500 is associative

GCF of 5496 and 5500 = GCF of 5500 and 5496

Related Greatest Common Factor of 5496

Related Greatest Common Factor of 5500

Frequently Asked Questions on GCF of 5496 and 5500

1. What is the GCF of 5496 and 5500?

Answer: GCF of 5496 and 5500 is 4.

2. What are the Factors of 5496?

Answer: Factors of 5496 are 1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496. There are 16 integers that are factors of 5496. The greatest factor of 5496 is 5496.

3. What are the Factors of 5500?

Answer: Factors of 5500 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 1100, 1375, 2750, 5500. There are 24 integers that are factors of 5500. The greatest factor of 5500 is 5500.

4. How to Find the GCF of 5496 and 5500?

Answer:

Greatest Common Factor of 5496 and 5500 = 4

Step 1: Find the prime factorization of 5496

5496 = 2 x 2 x 2 x 3 x 229

Step 2: Find the prime factorization of 5500

5500 = 2 x 2 x 5 x 5 x 5 x 11

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 5496 and 5500 is 4