Greatest Common Factor of 1563 and 1566

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 1563, 1566 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1563 and 1566 is 3.

GCF(1563,1566) = 3

GCF of 1563 and 1566

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

GCF of:
and

Greatest Common Factor of 1563 and 1566

GCF of 1563 and 1566 is 3

Prime Factorization of 1563


3 1563
521 521
1

Prime factors of 1563 are 3,521. Prime factorization of 1563 in exponential form is:

1563 = 31×5211

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

∴ So by taking common prime factors GCF of 1563 and 1566 is 3

Greatest Common Factor of 1563 and 1566 by matching factors method

Factors of 1563

List of positive integer factors of 1563 that divides 1563 without a remainder.

1,3,521,1563

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

Greatest Common Factor

We found the factors and prime factorization of 1563 and 1566. The biggest common factor number is the GCF number.
So the greatest common factor 1563 and 1566 is 3.

Also check out the Least Common Multiple of 1563 and 1566

Properties of GCF 1563 and 1566

(i) The GCF of 1563 and 1566 is associative

GCF of 1563 and 1566 = GCF of 1566 and 1563

Related Greatest Common Factor of 1563

Related Greatest Common Factor of 1566

Frequently Asked Questions on GCF of 1563 and 1566

1. What is the GCF of 1563 and 1566?

Answer: GCF of 1563 and 1566 is 3.

2. What are the Factors of 1563?

Answer: Factors of 1563 are 1, 3, 521, 1563. There are 4 integers that are factors of 1563. The greatest factor of 1563 is 1563.

3. 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.

4. How to Find the GCF of 1563 and 1566?

Answer:

Greatest Common Factor of 1563 and 1566 = 3

Step 1: Find the prime factorization of 1563

1563 = 3 x 521

Step 2: Find the prime factorization of 1566

1566 = 2 x 3 x 3 x 3 x 29

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 1563 and 1566 is 3