Greatest Common Factor of 1566 and 1569

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 1566, 1569 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1566 and 1569 is 3.

GCF(1566,1569) = 3

GCF of 1566 and 1569

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

GCF of:
and

Greatest Common Factor of 1566 and 1569

GCF of 1566 and 1569 is 3

Prime Factorization of 1566


2 1566
3 783
3 261
3 87
29 29
1

Prime factors of 1566 are 2,3,29. Prime factorization of 1566 in exponential form is:

1566 = 21×33×291

Prime Factorization of 1569


3 1569
523 523
1

Prime factors of 1569 are 3,523. Prime factorization of 1569 in exponential form is:

1569 = 31×5231

∴ So by taking common prime factors GCF of 1566 and 1569 is 3

Greatest Common Factor of 1566 and 1569 by matching factors method

Factors of 1566

List of positive integer factors of 1566 that divides 1566 without a remainder.

1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566

Factors of 1569

List of positive integer factors of 1569 that divides 1569 without a remainder.

1,3,523,1569

Greatest Common Factor

We found the factors and prime factorization of 1566 and 1569. The biggest common factor number is the GCF number.
So the greatest common factor 1566 and 1569 is 3.

Also check out the Least Common Multiple of 1566 and 1569

Properties of GCF 1566 and 1569

(i) The GCF of 1566 and 1569 is associative

GCF of 1566 and 1569 = GCF of 1569 and 1566

Related Greatest Common Factor of 1566

Related Greatest Common Factor of 1569

Frequently Asked Questions on GCF of 1566 and 1569

1. What is the GCF of 1566 and 1569?

Answer: GCF of 1566 and 1569 is 3.

2. What are the Factors of 1566?

Answer: Factors of 1566 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 1566. There are 16 integers that are factors of 1566. The greatest factor of 1566 is 1566.

3. What are the Factors of 1569?

Answer: Factors of 1569 are 1, 3, 523, 1569. There are 4 integers that are factors of 1569. The greatest factor of 1569 is 1569.

4. How to Find the GCF of 1566 and 1569?

Answer:

Greatest Common Factor of 1566 and 1569 = 3

Step 1: Find the prime factorization of 1566

1566 = 2 x 3 x 3 x 3 x 29

Step 2: Find the prime factorization of 1569

1569 = 3 x 523

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 1566 and 1569 is 3