Greatest Common Factor of 4563 and 4566

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 4563, 4566 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4563 and 4566 is 3.

GCF(4563,4566) = 3

GCF of 4563 and 4566

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

GCF of:
and

Greatest Common Factor of 4563 and 4566

GCF of 4563 and 4566 is 3

Prime Factorization of 4563


3 4563
3 1521
3 507
13 169
13 13
1

Prime factors of 4563 are 3,13. Prime factorization of 4563 in exponential form is:

4563 = 33×132

Prime Factorization of 4566


2 4566
3 2283
761 761
1

Prime factors of 4566 are 2,3,761. Prime factorization of 4566 in exponential form is:

4566 = 21×31×7611

∴ So by taking common prime factors GCF of 4563 and 4566 is 3

Greatest Common Factor of 4563 and 4566 by matching factors method

Factors of 4563

List of positive integer factors of 4563 that divides 4563 without a remainder.

1,3,9,13,27,39,117,169,351,507,1521,4563

Factors of 4566

List of positive integer factors of 4566 that divides 4566 without a remainder.

1,2,3,6,761,1522,2283,4566

Greatest Common Factor

We found the factors and prime factorization of 4563 and 4566. The biggest common factor number is the GCF number.
So the greatest common factor 4563 and 4566 is 3.

Also check out the Least Common Multiple of 4563 and 4566

Properties of GCF 4563 and 4566

(i) The GCF of 4563 and 4566 is associative

GCF of 4563 and 4566 = GCF of 4566 and 4563

Related Greatest Common Factor of 4563

Related Greatest Common Factor of 4566

Frequently Asked Questions on GCF of 4563 and 4566

1. What is the GCF of 4563 and 4566?

Answer: GCF of 4563 and 4566 is 3.

2. What are the Factors of 4563?

Answer: Factors of 4563 are 1, 3, 9, 13, 27, 39, 117, 169, 351, 507, 1521, 4563. There are 12 integers that are factors of 4563. The greatest factor of 4563 is 4563.

3. What are the Factors of 4566?

Answer: Factors of 4566 are 1, 2, 3, 6, 761, 1522, 2283, 4566. There are 8 integers that are factors of 4566. The greatest factor of 4566 is 4566.

4. How to Find the GCF of 4563 and 4566?

Answer:

Greatest Common Factor of 4563 and 4566 = 3

Step 1: Find the prime factorization of 4563

4563 = 3 x 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 4566

4566 = 2 x 3 x 761

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 4563 and 4566 is 3