Greatest Common Factor of 4563 and 4569

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, 4569 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4563 and 4569 is 3.

GCF(4563,4569) = 3

GCF of 4563 and 4569

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

GCF of:
and

Greatest Common Factor of 4563 and 4569

GCF of 4563 and 4569 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 4569


3 4569
1523 1523
1

Prime factors of 4569 are 3,1523. Prime factorization of 4569 in exponential form is:

4569 = 31×15231

∴ So by taking common prime factors GCF of 4563 and 4569 is 3

Greatest Common Factor of 4563 and 4569 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 4569

List of positive integer factors of 4569 that divides 4569 without a remainder.

1,3,1523,4569

Greatest Common Factor

We found the factors and prime factorization of 4563 and 4569. The biggest common factor number is the GCF number.
So the greatest common factor 4563 and 4569 is 3.

Also check out the Least Common Multiple of 4563 and 4569

Properties of GCF 4563 and 4569

(i) The GCF of 4563 and 4569 is associative

GCF of 4563 and 4569 = GCF of 4569 and 4563

Related Greatest Common Factor of 4563

Related Greatest Common Factor of 4569

Frequently Asked Questions on GCF of 4563 and 4569

1. What is the GCF of 4563 and 4569?

Answer: GCF of 4563 and 4569 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 4569?

Answer: Factors of 4569 are 1, 3, 1523, 4569. There are 4 integers that are factors of 4569. The greatest factor of 4569 is 4569.

4. How to Find the GCF of 4563 and 4569?

Answer:

Greatest Common Factor of 4563 and 4569 = 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 4569

4569 = 3 x 1523

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 4569 is 3