Greatest Common Factor of 576 and 583

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, 583 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 576 and 583 is 1.

GCF(576,583) = 1

GCF of 576 and 583

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

GCF of:
and

Greatest Common Factor of 576 and 583

GCF of 576 and 583 is 1

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 583


11 583
53 53
1

Prime factors of 583 are 11,53. Prime factorization of 583 in exponential form is:

583 = 111×531

∴ So by taking common prime factors GCF of 576 and 583 is 1

Greatest Common Factor of 576 and 583 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 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors and prime factorization of 576 and 583. The biggest common factor number is the GCF number.
So the greatest common factor 576 and 583 is 1.

Also check out the Least Common Multiple of 576 and 583

Properties of GCF 576 and 583

(i) The GCF of 576 and 583 is associative

GCF of 576 and 583 = GCF of 583 and 576

Related Greatest Common Factor of 576

Related Greatest Common Factor of 583

Frequently Asked Questions on GCF of 576 and 583

1. What is the GCF of 576 and 583?

Answer: GCF of 576 and 583 is 1.

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 583?

Answer: Factors of 583 are 1, 11, 53, 583. There are 4 integers that are factors of 583. The greatest factor of 583 is 583.

4. How to Find the GCF of 576 and 583?

Answer:

Greatest Common Factor of 576 and 583 = 1

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 583

583 = 11 x 53

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 576 and 583 is 1