Greatest Common Factor of 574 and 582

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 574, 582 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 574 and 582 is 2.

GCF(574,582) = 2

GCF of 574 and 582

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

GCF of:
and

Greatest Common Factor of 574 and 582

GCF of 574 and 582 is 2

Prime Factorization of 574


2 574
7 287
41 41
1

Prime factors of 574 are 2,7,41. Prime factorization of 574 in exponential form is:

574 = 21×71×411

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

∴ So by taking common prime factors GCF of 574 and 582 is 2

Greatest Common Factor of 574 and 582 by matching factors method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 582

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

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

Greatest Common Factor

We found the factors and prime factorization of 574 and 582. The biggest common factor number is the GCF number.
So the greatest common factor 574 and 582 is 2.

Also check out the Least Common Multiple of 574 and 582

Properties of GCF 574 and 582

(i) The GCF of 574 and 582 is associative

GCF of 574 and 582 = GCF of 582 and 574

Related Greatest Common Factor of 574

Related Greatest Common Factor of 582

Frequently Asked Questions on GCF of 574 and 582

1. What is the GCF of 574 and 582?

Answer: GCF of 574 and 582 is 2.

2. What are the Factors of 574?

Answer: Factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574. There are 8 integers that are factors of 574. The greatest factor of 574 is 574.

3. 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.

4. How to Find the GCF of 574 and 582?

Answer:

Greatest Common Factor of 574 and 582 = 2

Step 1: Find the prime factorization of 574

574 = 2 x 7 x 41

Step 2: Find the prime factorization of 582

582 = 2 x 3 x 97

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 574 and 582 is 2