Greatest Common Factor of 582 and 589

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

Greatest common factor (GCF) of 582 and 589 is 1.

GCF(582,589) = 1

GCF of 582 and 589

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

GCF of:
and

Greatest Common Factor of 582 and 589

GCF of 582 and 589 is 1

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 589


19 589
31 31
1

Prime factors of 589 are 19,31. Prime factorization of 589 in exponential form is:

589 = 191×311

∴ So by taking common prime factors GCF of 582 and 589 is 1

Greatest Common Factor of 582 and 589 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 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors and prime factorization of 582 and 589. The biggest common factor number is the GCF number.
So the greatest common factor 582 and 589 is 1.

Also check out the Least Common Multiple of 582 and 589

Properties of GCF 582 and 589

(i) The GCF of 582 and 589 is associative

GCF of 582 and 589 = GCF of 589 and 582

Related Greatest Common Factor of 582

Related Greatest Common Factor of 589

Frequently Asked Questions on GCF of 582 and 589

1. What is the GCF of 582 and 589?

Answer: GCF of 582 and 589 is 1.

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 589?

Answer: Factors of 589 are 1, 19, 31, 589. There are 4 integers that are factors of 589. The greatest factor of 589 is 589.

4. How to Find the GCF of 582 and 589?

Answer:

Greatest Common Factor of 582 and 589 = 1

Step 1: Find the prime factorization of 582

582 = 2 x 3 x 97

Step 2: Find the prime factorization of 589

589 = 19 x 31

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 582 and 589 is 1