Greatest Common Factor of 550 and 556

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 550, 556 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 550 and 556 is 2.

GCF(550,556) = 2

GCF of 550 and 556

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

GCF of:
and

Greatest Common Factor of 550 and 556

GCF of 550 and 556 is 2

Prime Factorization of 550


2 550
5 275
5 55
11 11
1

Prime factors of 550 are 2,5,11. Prime factorization of 550 in exponential form is:

550 = 21×52×111

Prime Factorization of 556


2 556
2 278
139 139
1

Prime factors of 556 are 2,139. Prime factorization of 556 in exponential form is:

556 = 22×1391

∴ So by taking common prime factors GCF of 550 and 556 is 2

Greatest Common Factor of 550 and 556 by matching factors method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors and prime factorization of 550 and 556. The biggest common factor number is the GCF number.
So the greatest common factor 550 and 556 is 2.

Also check out the Least Common Multiple of 550 and 556

Properties of GCF 550 and 556

(i) The GCF of 550 and 556 is associative

GCF of 550 and 556 = GCF of 556 and 550

Related Greatest Common Factor of 550

Related Greatest Common Factor of 556

Frequently Asked Questions on GCF of 550 and 556

1. What is the GCF of 550 and 556?

Answer: GCF of 550 and 556 is 2.

2. What are the Factors of 550?

Answer: Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550. There are 12 integers that are factors of 550. The greatest factor of 550 is 550.

3. What are the Factors of 556?

Answer: Factors of 556 are 1, 2, 4, 139, 278, 556. There are 6 integers that are factors of 556. The greatest factor of 556 is 556.

4. How to Find the GCF of 550 and 556?

Answer:

Greatest Common Factor of 550 and 556 = 2

Step 1: Find the prime factorization of 550

550 = 2 x 5 x 5 x 11

Step 2: Find the prime factorization of 556

556 = 2 x 2 x 139

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 550 and 556 is 2