Greatest Common Factor of 4500 and 4508

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, 4508 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4500 and 4508 is 4.

GCF(4500,4508) = 4

GCF of 4500 and 4508

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

GCF of:
and

Greatest Common Factor of 4500 and 4508

GCF of 4500 and 4508 is 4

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 4508


2 4508
2 2254
7 1127
7 161
23 23
1

Prime factors of 4508 are 2,7,23. Prime factorization of 4508 in exponential form is:

4508 = 22×72×231

∴ So by taking common prime factors GCF of 4500 and 4508 is 4

Greatest Common Factor of 4500 and 4508 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 4508

List of positive integer factors of 4508 that divides 4508 without a remainder.

1,2,4,7,14,23,28,46,49,92,98,161,196,322,644,1127,2254,4508

Greatest Common Factor

We found the factors and prime factorization of 4500 and 4508. The biggest common factor number is the GCF number.
So the greatest common factor 4500 and 4508 is 4.

Also check out the Least Common Multiple of 4500 and 4508

Properties of GCF 4500 and 4508

(i) The GCF of 4500 and 4508 is associative

GCF of 4500 and 4508 = GCF of 4508 and 4500

Related Greatest Common Factor of 4500

Related Greatest Common Factor of 4508

Frequently Asked Questions on GCF of 4500 and 4508

1. What is the GCF of 4500 and 4508?

Answer: GCF of 4500 and 4508 is 4.

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 4508?

Answer: Factors of 4508 are 1, 2, 4, 7, 14, 23, 28, 46, 49, 92, 98, 161, 196, 322, 644, 1127, 2254, 4508. There are 18 integers that are factors of 4508. The greatest factor of 4508 is 4508.

4. How to Find the GCF of 4500 and 4508?

Answer:

Greatest Common Factor of 4500 and 4508 = 4

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 4508

4508 = 2 x 2 x 7 x 7 x 23

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4500 and 4508 is 4