Greatest Common Factor of 568 and 576

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 568, 576 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 568 and 576 is 8.

GCF(568,576) = 8

GCF of 568 and 576

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

GCF of:
and

Greatest Common Factor of 568 and 576

GCF of 568 and 576 is 8

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

Prime Factorization of 576


2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 576 are 2,3. Prime factorization of 576 in exponential form is:

576 = 26×32

∴ So by taking common prime factors GCF of 568 and 576 is 8

Greatest Common Factor of 568 and 576 by matching factors method

Factors of 568

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

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

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors and prime factorization of 568 and 576. The biggest common factor number is the GCF number.
So the greatest common factor 568 and 576 is 8.

Also check out the Least Common Multiple of 568 and 576

Properties of GCF 568 and 576

(i) The GCF of 568 and 576 is associative

GCF of 568 and 576 = GCF of 576 and 568

Related Greatest Common Factor of 568

Related Greatest Common Factor of 576

Frequently Asked Questions on GCF of 568 and 576

1. What is the GCF of 568 and 576?

Answer: GCF of 568 and 576 is 8.

2. 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.

3. What are the Factors of 576?

Answer: Factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576. There are 21 integers that are factors of 576. The greatest factor of 576 is 576.

4. How to Find the GCF of 568 and 576?

Answer:

Greatest Common Factor of 568 and 576 = 8

Step 1: Find the prime factorization of 568

568 = 2 x 2 x 2 x 71

Step 2: Find the prime factorization of 576

576 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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 568 and 576 is 8