Greatest Common Factor of 560 and 563

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 560, 563 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 560 and 563 is 1.

GCF(560,563) = 1

GCF of 560 and 563

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

GCF of:
and

Greatest Common Factor of 560 and 563

GCF of 560 and 563 is 1

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

Prime Factorization of 563


563 563
1

Prime factors of 563 are 563. Prime factorization of 563 in exponential form is:

563 = 5631

∴ So by taking common prime factors GCF of 560 and 563 is 1

Greatest Common Factor of 560 and 563 by matching factors method

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

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors and prime factorization of 560 and 563. The biggest common factor number is the GCF number.
So the greatest common factor 560 and 563 is 1.

Also check out the Least Common Multiple of 560 and 563

Properties of GCF 560 and 563

(i) The GCF of 560 and 563 is associative

GCF of 560 and 563 = GCF of 563 and 560

Related Greatest Common Factor of 560

Related Greatest Common Factor of 563

Frequently Asked Questions on GCF of 560 and 563

1. What is the GCF of 560 and 563?

Answer: GCF of 560 and 563 is 1.

2. 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.

3. What are the Factors of 563?

Answer: Factors of 563 are 1, 563. There are 2 integers that are factors of 563. The greatest factor of 563 is 563.

4. How to Find the GCF of 560 and 563?

Answer:

Greatest Common Factor of 560 and 563 = 1

Step 1: Find the prime factorization of 560

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

Step 2: Find the prime factorization of 563

563 = 563

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 560 and 563 is 1