Greatest Common Factor of 576 and 578

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, 578 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 576 and 578 is 2.

GCF(576,578) = 2

GCF of 576 and 578

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

GCF of:
and

Greatest Common Factor of 576 and 578

GCF of 576 and 578 is 2

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 578


2 578
17 289
17 17
1

Prime factors of 578 are 2,17. Prime factorization of 578 in exponential form is:

578 = 21×172

∴ So by taking common prime factors GCF of 576 and 578 is 2

Greatest Common Factor of 576 and 578 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 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors and prime factorization of 576 and 578. The biggest common factor number is the GCF number.
So the greatest common factor 576 and 578 is 2.

Also check out the Least Common Multiple of 576 and 578

Properties of GCF 576 and 578

(i) The GCF of 576 and 578 is associative

GCF of 576 and 578 = GCF of 578 and 576

Related Greatest Common Factor of 576

Related Greatest Common Factor of 578

Frequently Asked Questions on GCF of 576 and 578

1. What is the GCF of 576 and 578?

Answer: GCF of 576 and 578 is 2.

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 578?

Answer: Factors of 578 are 1, 2, 17, 34, 289, 578. There are 6 integers that are factors of 578. The greatest factor of 578 is 578.

4. How to Find the GCF of 576 and 578?

Answer:

Greatest Common Factor of 576 and 578 = 2

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 578

578 = 2 x 17 x 17

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

GCF = 2

Step 4: Therefore, the greatest common factor of 576 and 578 is 2