Greatest Common Factor of 554 and 558

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 554, 558 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 554 and 558 is 2.

GCF(554,558) = 2

GCF of 554 and 558

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

GCF of:
and

Greatest Common Factor of 554 and 558

GCF of 554 and 558 is 2

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

Prime Factorization of 558


2 558
3 279
3 93
31 31
1

Prime factors of 558 are 2,3,31. Prime factorization of 558 in exponential form is:

558 = 21×32×311

∴ So by taking common prime factors GCF of 554 and 558 is 2

Greatest Common Factor of 554 and 558 by matching factors method

Factors of 554

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

1,2,277,554

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors and prime factorization of 554 and 558. The biggest common factor number is the GCF number.
So the greatest common factor 554 and 558 is 2.

Also check out the Least Common Multiple of 554 and 558

Properties of GCF 554 and 558

(i) The GCF of 554 and 558 is associative

GCF of 554 and 558 = GCF of 558 and 554

Related Greatest Common Factor of 554

Related Greatest Common Factor of 558

Frequently Asked Questions on GCF of 554 and 558

1. What is the GCF of 554 and 558?

Answer: GCF of 554 and 558 is 2.

2. 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.

3. What are the Factors of 558?

Answer: Factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558. There are 12 integers that are factors of 558. The greatest factor of 558 is 558.

4. How to Find the GCF of 554 and 558?

Answer:

Greatest Common Factor of 554 and 558 = 2

Step 1: Find the prime factorization of 554

554 = 2 x 277

Step 2: Find the prime factorization of 558

558 = 2 x 3 x 3 x 31

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 554 and 558 is 2