Greatest Common Factor of 566 and 572

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

Greatest common factor (GCF) of 566 and 572 is 2.

GCF(566,572) = 2

GCF of 566 and 572

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

GCF of:
and

Greatest Common Factor of 566 and 572

GCF of 566 and 572 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 572


2 572
2 286
11 143
13 13
1

Prime factors of 572 are 2,11,13. Prime factorization of 572 in exponential form is:

572 = 22×111×131

∴ So by taking common prime factors GCF of 566 and 572 is 2

Greatest Common Factor of 566 and 572 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 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors and prime factorization of 566 and 572. The biggest common factor number is the GCF number.
So the greatest common factor 566 and 572 is 2.

Also check out the Least Common Multiple of 566 and 572

Properties of GCF 566 and 572

(i) The GCF of 566 and 572 is associative

GCF of 566 and 572 = GCF of 572 and 566

Related Greatest Common Factor of 566

Related Greatest Common Factor of 572

Frequently Asked Questions on GCF of 566 and 572

1. What is the GCF of 566 and 572?

Answer: GCF of 566 and 572 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 572?

Answer: Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572. There are 12 integers that are factors of 572. The greatest factor of 572 is 572.

4. How to Find the GCF of 566 and 572?

Answer:

Greatest Common Factor of 566 and 572 = 2

Step 1: Find the prime factorization of 566

566 = 2 x 283

Step 2: Find the prime factorization of 572

572 = 2 x 2 x 11 x 13

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 572 is 2