Greatest Common Factor of 576 and 584

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

Greatest common factor (GCF) of 576 and 584 is 8.

GCF(576,584) = 8

GCF of 576 and 584

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

GCF of:
and

Greatest Common Factor of 576 and 584

GCF of 576 and 584 is 8

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 584


2 584
2 292
2 146
73 73
1

Prime factors of 584 are 2,73. Prime factorization of 584 in exponential form is:

584 = 23×731

∴ So by taking common prime factors GCF of 576 and 584 is 8

Greatest Common Factor of 576 and 584 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 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors and prime factorization of 576 and 584. The biggest common factor number is the GCF number.
So the greatest common factor 576 and 584 is 8.

Also check out the Least Common Multiple of 576 and 584

Properties of GCF 576 and 584

(i) The GCF of 576 and 584 is associative

GCF of 576 and 584 = GCF of 584 and 576

Related Greatest Common Factor of 576

Related Greatest Common Factor of 584

Frequently Asked Questions on GCF of 576 and 584

1. What is the GCF of 576 and 584?

Answer: GCF of 576 and 584 is 8.

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 584?

Answer: Factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584. There are 8 integers that are factors of 584. The greatest factor of 584 is 584.

4. How to Find the GCF of 576 and 584?

Answer:

Greatest Common Factor of 576 and 584 = 8

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 584

584 = 2 x 2 x 2 x 73

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 576 and 584 is 8