Greatest Common Factor of 554 and 560

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

Greatest common factor (GCF) of 554 and 560 is 2.

GCF(554,560) = 2

GCF of 554 and 560

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

GCF of:
and

Greatest Common Factor of 554 and 560

GCF of 554 and 560 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 560


2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 560 are 2,5,7. Prime factorization of 560 in exponential form is:

560 = 24×51×71

∴ So by taking common prime factors GCF of 554 and 560 is 2

Greatest Common Factor of 554 and 560 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 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors and prime factorization of 554 and 560. The biggest common factor number is the GCF number.
So the greatest common factor 554 and 560 is 2.

Also check out the Least Common Multiple of 554 and 560

Properties of GCF 554 and 560

(i) The GCF of 554 and 560 is associative

GCF of 554 and 560 = GCF of 560 and 554

Related Greatest Common Factor of 554

Related Greatest Common Factor of 560

Frequently Asked Questions on GCF of 554 and 560

1. What is the GCF of 554 and 560?

Answer: GCF of 554 and 560 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 560?

Answer: Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560. There are 20 integers that are factors of 560. The greatest factor of 560 is 560.

4. How to Find the GCF of 554 and 560?

Answer:

Greatest Common Factor of 554 and 560 = 2

Step 1: Find the prime factorization of 554

554 = 2 x 277

Step 2: Find the prime factorization of 560

560 = 2 x 2 x 2 x 2 x 5 x 7

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 560 is 2