Greatest Common Factor of 4500 and 4505

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 4500, 4505 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4500 and 4505 is 5.

GCF(4500,4505) = 5

GCF of 4500 and 4505

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

GCF of:
and

Greatest Common Factor of 4500 and 4505

GCF of 4500 and 4505 is 5

Prime Factorization of 4500


2 4500
2 2250
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 4500 are 2,3,5. Prime factorization of 4500 in exponential form is:

4500 = 22×32×53

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

∴ So by taking common prime factors GCF of 4500 and 4505 is 5

Greatest Common Factor of 4500 and 4505 by matching factors method

Factors of 4500

List of positive integer factors of 4500 that divides 4500 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,125,150,180,225,250,300,375,450,500,750,900,1125,1500,2250,4500

Factors of 4505

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

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

Greatest Common Factor

We found the factors and prime factorization of 4500 and 4505. The biggest common factor number is the GCF number.
So the greatest common factor 4500 and 4505 is 5.

Also check out the Least Common Multiple of 4500 and 4505

Properties of GCF 4500 and 4505

(i) The GCF of 4500 and 4505 is associative

GCF of 4500 and 4505 = GCF of 4505 and 4500

Related Greatest Common Factor of 4500

Related Greatest Common Factor of 4505

Frequently Asked Questions on GCF of 4500 and 4505

1. What is the GCF of 4500 and 4505?

Answer: GCF of 4500 and 4505 is 5.

2. What are the Factors of 4500?

Answer: Factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500. There are 36 integers that are factors of 4500. The greatest factor of 4500 is 4500.

3. 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.

4. How to Find the GCF of 4500 and 4505?

Answer:

Greatest Common Factor of 4500 and 4505 = 5

Step 1: Find the prime factorization of 4500

4500 = 2 x 2 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 4505

4505 = 5 x 17 x 53

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4500 and 4505 is 5