Greatest Common Factor of 4569 and 4575

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 4569, 4575 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4569 and 4575 is 3.

GCF(4569,4575) = 3

GCF of 4569 and 4575

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

GCF of:
and

Greatest Common Factor of 4569 and 4575

GCF of 4569 and 4575 is 3

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

Prime Factorization of 4575


3 4575
5 1525
5 305
61 61
1

Prime factors of 4575 are 3,5,61. Prime factorization of 4575 in exponential form is:

4575 = 31×52×611

∴ So by taking common prime factors GCF of 4569 and 4575 is 3

Greatest Common Factor of 4569 and 4575 by matching factors method

Factors of 4569

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

1,3,1523,4569

Factors of 4575

List of positive integer factors of 4575 that divides 4575 without a remainder.

1,3,5,15,25,61,75,183,305,915,1525,4575

Greatest Common Factor

We found the factors and prime factorization of 4569 and 4575. The biggest common factor number is the GCF number.
So the greatest common factor 4569 and 4575 is 3.

Also check out the Least Common Multiple of 4569 and 4575

Properties of GCF 4569 and 4575

(i) The GCF of 4569 and 4575 is associative

GCF of 4569 and 4575 = GCF of 4575 and 4569

Related Greatest Common Factor of 4569

Related Greatest Common Factor of 4575

Frequently Asked Questions on GCF of 4569 and 4575

1. What is the GCF of 4569 and 4575?

Answer: GCF of 4569 and 4575 is 3.

2. 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.

3. What are the Factors of 4575?

Answer: Factors of 4575 are 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, 4575. There are 12 integers that are factors of 4575. The greatest factor of 4575 is 4575.

4. How to Find the GCF of 4569 and 4575?

Answer:

Greatest Common Factor of 4569 and 4575 = 3

Step 1: Find the prime factorization of 4569

4569 = 3 x 1523

Step 2: Find the prime factorization of 4575

4575 = 3 x 5 x 5 x 61

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 4569 and 4575 is 3