Greatest Common Factor of 560 and 568

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, 568 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 560 and 568 is 8.

GCF(560,568) = 8

GCF of 560 and 568

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

GCF of:
and

Greatest Common Factor of 560 and 568

GCF of 560 and 568 is 8

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 568


2 568
2 284
2 142
71 71
1

Prime factors of 568 are 2,71. Prime factorization of 568 in exponential form is:

568 = 23×711

∴ So by taking common prime factors GCF of 560 and 568 is 8

Greatest Common Factor of 560 and 568 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 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors and prime factorization of 560 and 568. The biggest common factor number is the GCF number.
So the greatest common factor 560 and 568 is 8.

Also check out the Least Common Multiple of 560 and 568

Properties of GCF 560 and 568

(i) The GCF of 560 and 568 is associative

GCF of 560 and 568 = GCF of 568 and 560

Related Greatest Common Factor of 560

Related Greatest Common Factor of 568

Frequently Asked Questions on GCF of 560 and 568

1. What is the GCF of 560 and 568?

Answer: GCF of 560 and 568 is 8.

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 568?

Answer: Factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568. There are 8 integers that are factors of 568. The greatest factor of 568 is 568.

4. How to Find the GCF of 560 and 568?

Answer:

Greatest Common Factor of 560 and 568 = 8

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 568

568 = 2 x 2 x 2 x 71

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 560 and 568 is 8