Greatest Common Factor of 4505 and 4509

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 4505, 4509 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4505 and 4509 is 1.

GCF(4505,4509) = 1

GCF of 4505 and 4509

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

GCF of:
and

Greatest Common Factor of 4505 and 4509

GCF of 4505 and 4509 is 1

Prime Factorization of 4505


5 4505
17 901
53 53
1

Prime factors of 4505 are 5,17,53. Prime factorization of 4505 in exponential form is:

4505 = 51×171×531

Prime Factorization of 4509


3 4509
3 1503
3 501
167 167
1

Prime factors of 4509 are 3,167. Prime factorization of 4509 in exponential form is:

4509 = 33×1671

∴ So by taking common prime factors GCF of 4505 and 4509 is 1

Greatest Common Factor of 4505 and 4509 by matching factors method

Factors of 4505

List of positive integer factors of 4505 that divides 4505 without a remainder.

1,5,17,53,85,265,901,4505

Factors of 4509

List of positive integer factors of 4509 that divides 4509 without a remainder.

1,3,9,27,167,501,1503,4509

Greatest Common Factor

We found the factors and prime factorization of 4505 and 4509. The biggest common factor number is the GCF number.
So the greatest common factor 4505 and 4509 is 1.

Also check out the Least Common Multiple of 4505 and 4509

Properties of GCF 4505 and 4509

(i) The GCF of 4505 and 4509 is associative

GCF of 4505 and 4509 = GCF of 4509 and 4505

Related Greatest Common Factor of 4505

Related Greatest Common Factor of 4509

Frequently Asked Questions on GCF of 4505 and 4509

1. What is the GCF of 4505 and 4509?

Answer: GCF of 4505 and 4509 is 1.

2. What are the Factors of 4505?

Answer: Factors of 4505 are 1, 5, 17, 53, 85, 265, 901, 4505. There are 8 integers that are factors of 4505. The greatest factor of 4505 is 4505.

3. What are the Factors of 4509?

Answer: Factors of 4509 are 1, 3, 9, 27, 167, 501, 1503, 4509. There are 8 integers that are factors of 4509. The greatest factor of 4509 is 4509.

4. How to Find the GCF of 4505 and 4509?

Answer:

Greatest Common Factor of 4505 and 4509 = 1

Step 1: Find the prime factorization of 4505

4505 = 5 x 17 x 53

Step 2: Find the prime factorization of 4509

4509 = 3 x 3 x 3 x 167

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4505 and 4509 is 1