Greatest Common Factor of 582 and 588

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, 588 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 582 and 588 is 6.

GCF(582,588) = 6

GCF of 582 and 588

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

GCF of:
and

Greatest Common Factor of 582 and 588

GCF of 582 and 588 is 6

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 588


2 588
2 294
3 147
7 49
7 7
1

Prime factors of 588 are 2,3,7. Prime factorization of 588 in exponential form is:

588 = 22×31×72

∴ So by taking common prime factors GCF of 582 and 588 is 6

Greatest Common Factor of 582 and 588 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 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors and prime factorization of 582 and 588. The biggest common factor number is the GCF number.
So the greatest common factor 582 and 588 is 6.

Also check out the Least Common Multiple of 582 and 588

Properties of GCF 582 and 588

(i) The GCF of 582 and 588 is associative

GCF of 582 and 588 = GCF of 588 and 582

Related Greatest Common Factor of 582

Related Greatest Common Factor of 588

Frequently Asked Questions on GCF of 582 and 588

1. What is the GCF of 582 and 588?

Answer: GCF of 582 and 588 is 6.

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 588?

Answer: Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. There are 18 integers that are factors of 588. The greatest factor of 588 is 588.

4. How to Find the GCF of 582 and 588?

Answer:

Greatest Common Factor of 582 and 588 = 6

Step 1: Find the prime factorization of 582

582 = 2 x 3 x 97

Step 2: Find the prime factorization of 588

588 = 2 x 2 x 3 x 7 x 7

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 582 and 588 is 6