Greatest Common Factor of 574 and 578

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

Greatest common factor (GCF) of 574 and 578 is 2.

GCF(574,578) = 2

GCF of 574 and 578

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

GCF of:
and

Greatest Common Factor of 574 and 578

GCF of 574 and 578 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 578


2 578
17 289
17 17
1

Prime factors of 578 are 2,17. Prime factorization of 578 in exponential form is:

578 = 21×172

∴ So by taking common prime factors GCF of 574 and 578 is 2

Greatest Common Factor of 574 and 578 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 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors and prime factorization of 574 and 578. The biggest common factor number is the GCF number.
So the greatest common factor 574 and 578 is 2.

Also check out the Least Common Multiple of 574 and 578

Properties of GCF 574 and 578

(i) The GCF of 574 and 578 is associative

GCF of 574 and 578 = GCF of 578 and 574

Related Greatest Common Factor of 574

Related Greatest Common Factor of 578

Frequently Asked Questions on GCF of 574 and 578

1. What is the GCF of 574 and 578?

Answer: GCF of 574 and 578 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 578?

Answer: Factors of 578 are 1, 2, 17, 34, 289, 578. There are 6 integers that are factors of 578. The greatest factor of 578 is 578.

4. How to Find the GCF of 574 and 578?

Answer:

Greatest Common Factor of 574 and 578 = 2

Step 1: Find the prime factorization of 574

574 = 2 x 7 x 41

Step 2: Find the prime factorization of 578

578 = 2 x 17 x 17

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 578 is 2