Greatest Common Factor of 576 and 580

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, 580 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 576 and 580 is 4.

GCF(576,580) = 4

GCF of 576 and 580

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

GCF of:
and

Greatest Common Factor of 576 and 580

GCF of 576 and 580 is 4

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 580


2 580
2 290
5 145
29 29
1

Prime factors of 580 are 2,5,29. Prime factorization of 580 in exponential form is:

580 = 22×51×291

∴ So by taking common prime factors GCF of 576 and 580 is 4

Greatest Common Factor of 576 and 580 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 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors and prime factorization of 576 and 580. The biggest common factor number is the GCF number.
So the greatest common factor 576 and 580 is 4.

Also check out the Least Common Multiple of 576 and 580

Properties of GCF 576 and 580

(i) The GCF of 576 and 580 is associative

GCF of 576 and 580 = GCF of 580 and 576

Related Greatest Common Factor of 576

Related Greatest Common Factor of 580

Frequently Asked Questions on GCF of 576 and 580

1. What is the GCF of 576 and 580?

Answer: GCF of 576 and 580 is 4.

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 580?

Answer: Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580. There are 12 integers that are factors of 580. The greatest factor of 580 is 580.

4. How to Find the GCF of 576 and 580?

Answer:

Greatest Common Factor of 576 and 580 = 4

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 580

580 = 2 x 2 x 5 x 29

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 576 and 580 is 4