Greatest Common Factor of 550 and 554

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

Greatest common factor (GCF) of 550 and 554 is 2.

GCF(550,554) = 2

GCF of 550 and 554

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

GCF of:
and

Greatest Common Factor of 550 and 554

GCF of 550 and 554 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 554


2 554
277 277
1

Prime factors of 554 are 2,277. Prime factorization of 554 in exponential form is:

554 = 21×2771

∴ So by taking common prime factors GCF of 550 and 554 is 2

Greatest Common Factor of 550 and 554 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 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors and prime factorization of 550 and 554. The biggest common factor number is the GCF number.
So the greatest common factor 550 and 554 is 2.

Also check out the Least Common Multiple of 550 and 554

Properties of GCF 550 and 554

(i) The GCF of 550 and 554 is associative

GCF of 550 and 554 = GCF of 554 and 550

Related Greatest Common Factor of 550

Related Greatest Common Factor of 554

Frequently Asked Questions on GCF of 550 and 554

1. What is the GCF of 550 and 554?

Answer: GCF of 550 and 554 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 554?

Answer: Factors of 554 are 1, 2, 277, 554. There are 4 integers that are factors of 554. The greatest factor of 554 is 554.

4. How to Find the GCF of 550 and 554?

Answer:

Greatest Common Factor of 550 and 554 = 2

Step 1: Find the prime factorization of 550

550 = 2 x 5 x 5 x 11

Step 2: Find the prime factorization of 554

554 = 2 x 277

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 554 is 2