Greatest Common Factor of 4500 and 4507

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, 4507 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4500 and 4507 is 1.

GCF(4500,4507) = 1

GCF of 4500 and 4507

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

GCF of:
and

Greatest Common Factor of 4500 and 4507

GCF of 4500 and 4507 is 1

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 4507


4507 4507
1

Prime factors of 4507 are 4507. Prime factorization of 4507 in exponential form is:

4507 = 45071

∴ So by taking common prime factors GCF of 4500 and 4507 is 1

Greatest Common Factor of 4500 and 4507 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 4507

List of positive integer factors of 4507 that divides 4507 without a remainder.

1,4507

Greatest Common Factor

We found the factors and prime factorization of 4500 and 4507. The biggest common factor number is the GCF number.
So the greatest common factor 4500 and 4507 is 1.

Also check out the Least Common Multiple of 4500 and 4507

Properties of GCF 4500 and 4507

(i) The GCF of 4500 and 4507 is associative

GCF of 4500 and 4507 = GCF of 4507 and 4500

Related Greatest Common Factor of 4500

Related Greatest Common Factor of 4507

Frequently Asked Questions on GCF of 4500 and 4507

1. What is the GCF of 4500 and 4507?

Answer: GCF of 4500 and 4507 is 1.

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 4507?

Answer: Factors of 4507 are 1, 4507. There are 2 integers that are factors of 4507. The greatest factor of 4507 is 4507.

4. How to Find the GCF of 4500 and 4507?

Answer:

Greatest Common Factor of 4500 and 4507 = 1

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 4507

4507 = 4507

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 4500 and 4507 is 1