Greatest Common Factor of 556 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 556, 560 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 556 and 560 is 4.

GCF(556,560) = 4

GCF of 556 and 560

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

GCF of:
and

Greatest Common Factor of 556 and 560

GCF of 556 and 560 is 4

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

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 556 and 560 is 4

Greatest Common Factor of 556 and 560 by matching factors method

Factors of 556

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

1,2,4,139,278,556

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 556 and 560. The biggest common factor number is the GCF number.
So the greatest common factor 556 and 560 is 4.

Also check out the Least Common Multiple of 556 and 560

Properties of GCF 556 and 560

(i) The GCF of 556 and 560 is associative

GCF of 556 and 560 = GCF of 560 and 556

Related Greatest Common Factor of 556

Related Greatest Common Factor of 560

Frequently Asked Questions on GCF of 556 and 560

1. What is the GCF of 556 and 560?

Answer: GCF of 556 and 560 is 4.

2. 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.

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 556 and 560?

Answer:

Greatest Common Factor of 556 and 560 = 4

Step 1: Find the prime factorization of 556

556 = 2 x 2 x 139

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 556 and 560 is 4