Greatest Common Factor of 566 and 574

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 566, 574 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 566 and 574 is 2.

GCF(566,574) = 2

GCF of 566 and 574

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

GCF of:
and

Greatest Common Factor of 566 and 574

GCF of 566 and 574 is 2

Prime Factorization of 566


2 566
283 283
1

Prime factors of 566 are 2,283. Prime factorization of 566 in exponential form is:

566 = 21×2831

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

∴ So by taking common prime factors GCF of 566 and 574 is 2

Greatest Common Factor of 566 and 574 by matching factors method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 574

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

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

Greatest Common Factor

We found the factors and prime factorization of 566 and 574. The biggest common factor number is the GCF number.
So the greatest common factor 566 and 574 is 2.

Also check out the Least Common Multiple of 566 and 574

Properties of GCF 566 and 574

(i) The GCF of 566 and 574 is associative

GCF of 566 and 574 = GCF of 574 and 566

Related Greatest Common Factor of 566

Related Greatest Common Factor of 574

Frequently Asked Questions on GCF of 566 and 574

1. What is the GCF of 566 and 574?

Answer: GCF of 566 and 574 is 2.

2. What are the Factors of 566?

Answer: Factors of 566 are 1, 2, 283, 566. There are 4 integers that are factors of 566. The greatest factor of 566 is 566.

3. 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.

4. How to Find the GCF of 566 and 574?

Answer:

Greatest Common Factor of 566 and 574 = 2

Step 1: Find the prime factorization of 566

566 = 2 x 283

Step 2: Find the prime factorization of 574

574 = 2 x 7 x 41

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 566 and 574 is 2