Greatest Common Factor of 564 and 566

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 564, 566 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 564 and 566 is 2.

GCF(564,566) = 2

GCF of 564 and 566

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

GCF of:
and

Greatest Common Factor of 564 and 566

GCF of 564 and 566 is 2

Prime Factorization of 564


2 564
2 282
3 141
47 47
1

Prime factors of 564 are 2,3,47. Prime factorization of 564 in exponential form is:

564 = 22×31×471

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

∴ So by taking common prime factors GCF of 564 and 566 is 2

Greatest Common Factor of 564 and 566 by matching factors method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 566

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

1,2,283,566

Greatest Common Factor

We found the factors and prime factorization of 564 and 566. The biggest common factor number is the GCF number.
So the greatest common factor 564 and 566 is 2.

Also check out the Least Common Multiple of 564 and 566

Properties of GCF 564 and 566

(i) The GCF of 564 and 566 is associative

GCF of 564 and 566 = GCF of 566 and 564

Related Greatest Common Factor of 564

Related Greatest Common Factor of 566

Frequently Asked Questions on GCF of 564 and 566

1. What is the GCF of 564 and 566?

Answer: GCF of 564 and 566 is 2.

2. What are the Factors of 564?

Answer: Factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564. There are 12 integers that are factors of 564. The greatest factor of 564 is 564.

3. 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.

4. How to Find the GCF of 564 and 566?

Answer:

Greatest Common Factor of 564 and 566 = 2

Step 1: Find the prime factorization of 564

564 = 2 x 2 x 3 x 47

Step 2: Find the prime factorization of 566

566 = 2 x 283

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 564 and 566 is 2