Greatest Common Factor of 576 and 579

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 576, 579 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 576 and 579 is 3.

GCF(576,579) = 3

GCF of 576 and 579

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

GCF of:
and

Greatest Common Factor of 576 and 579

GCF of 576 and 579 is 3

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

Prime Factorization of 579


3 579
193 193
1

Prime factors of 579 are 3,193. Prime factorization of 579 in exponential form is:

579 = 31×1931

∴ So by taking common prime factors GCF of 576 and 579 is 3

Greatest Common Factor of 576 and 579 by matching factors method

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

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors and prime factorization of 576 and 579. The biggest common factor number is the GCF number.
So the greatest common factor 576 and 579 is 3.

Also check out the Least Common Multiple of 576 and 579

Properties of GCF 576 and 579

(i) The GCF of 576 and 579 is associative

GCF of 576 and 579 = GCF of 579 and 576

Related Greatest Common Factor of 576

Related Greatest Common Factor of 579

Frequently Asked Questions on GCF of 576 and 579

1. What is the GCF of 576 and 579?

Answer: GCF of 576 and 579 is 3.

2. 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.

3. What are the Factors of 579?

Answer: Factors of 579 are 1, 3, 193, 579. There are 4 integers that are factors of 579. The greatest factor of 579 is 579.

4. How to Find the GCF of 576 and 579?

Answer:

Greatest Common Factor of 576 and 579 = 3

Step 1: Find the prime factorization of 576

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

Step 2: Find the prime factorization of 579

579 = 3 x 193

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

GCF = 3

Step 4: Therefore, the greatest common factor of 576 and 579 is 3