Greatest Common Factor of 582 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 582, 584 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 582 and 584 is 2.

GCF(582,584) = 2

GCF of 582 and 584

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

GCF of:
and

Greatest Common Factor of 582 and 584

GCF of 582 and 584 is 2

Prime Factorization of 582


2 582
3 291
97 97
1

Prime factors of 582 are 2,3,97. Prime factorization of 582 in exponential form is:

582 = 21×31×971

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 582 and 584 is 2

Greatest Common Factor of 582 and 584 by matching factors method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

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 582 and 584. The biggest common factor number is the GCF number.
So the greatest common factor 582 and 584 is 2.

Also check out the Least Common Multiple of 582 and 584

Properties of GCF 582 and 584

(i) The GCF of 582 and 584 is associative

GCF of 582 and 584 = GCF of 584 and 582

Related Greatest Common Factor of 582

Related Greatest Common Factor of 584

Frequently Asked Questions on GCF of 582 and 584

1. What is the GCF of 582 and 584?

Answer: GCF of 582 and 584 is 2.

2. What are the Factors of 582?

Answer: Factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582. There are 8 integers that are factors of 582. The greatest factor of 582 is 582.

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 582 and 584?

Answer:

Greatest Common Factor of 582 and 584 = 2

Step 1: Find the prime factorization of 582

582 = 2 x 3 x 97

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

Step 4: Therefore, the greatest common factor of 582 and 584 is 2