Greatest Common Factor of 5550 and 5556

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 5550, 5556 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5550 and 5556 is 6.

GCF(5550,5556) = 6

GCF of 5550 and 5556

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

GCF of:
and

Greatest Common Factor of 5550 and 5556

GCF of 5550 and 5556 is 6

Prime Factorization of 5550


2 5550
3 2775
5 925
5 185
37 37
1

Prime factors of 5550 are 2,3,5,37. Prime factorization of 5550 in exponential form is:

5550 = 21×31×52×371

Prime Factorization of 5556


2 5556
2 2778
3 1389
463 463
1

Prime factors of 5556 are 2,3,463. Prime factorization of 5556 in exponential form is:

5556 = 22×31×4631

∴ So by taking common prime factors GCF of 5550 and 5556 is 6

Greatest Common Factor of 5550 and 5556 by matching factors method

Factors of 5550

List of positive integer factors of 5550 that divides 5550 without a remainder.

1,2,3,5,6,10,15,25,30,37,50,74,75,111,150,185,222,370,555,925,1110,1850,2775,5550

Factors of 5556

List of positive integer factors of 5556 that divides 5556 without a remainder.

1,2,3,4,6,12,463,926,1389,1852,2778,5556

Greatest Common Factor

We found the factors and prime factorization of 5550 and 5556. The biggest common factor number is the GCF number.
So the greatest common factor 5550 and 5556 is 6.

Also check out the Least Common Multiple of 5550 and 5556

Properties of GCF 5550 and 5556

(i) The GCF of 5550 and 5556 is associative

GCF of 5550 and 5556 = GCF of 5556 and 5550

Related Greatest Common Factor of 5550

Related Greatest Common Factor of 5556

Frequently Asked Questions on GCF of 5550 and 5556

1. What is the GCF of 5550 and 5556?

Answer: GCF of 5550 and 5556 is 6.

2. What are the Factors of 5550?

Answer: Factors of 5550 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 74, 75, 111, 150, 185, 222, 370, 555, 925, 1110, 1850, 2775, 5550. There are 24 integers that are factors of 5550. The greatest factor of 5550 is 5550.

3. What are the Factors of 5556?

Answer: Factors of 5556 are 1, 2, 3, 4, 6, 12, 463, 926, 1389, 1852, 2778, 5556. There are 12 integers that are factors of 5556. The greatest factor of 5556 is 5556.

4. How to Find the GCF of 5550 and 5556?

Answer:

Greatest Common Factor of 5550 and 5556 = 6

Step 1: Find the prime factorization of 5550

5550 = 2 x 3 x 5 x 5 x 37

Step 2: Find the prime factorization of 5556

5556 = 2 x 2 x 3 x 463

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5550 and 5556 is 6