Greatest Common Factor of 4498 and 4500

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 4498, 4500 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4498 and 4500 is 2.

GCF(4498,4500) = 2

GCF of 4498 and 4500

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

GCF of:
and

Greatest Common Factor of 4498 and 4500

GCF of 4498 and 4500 is 2

Prime Factorization of 4498


2 4498
13 2249
173 173
1

Prime factors of 4498 are 2,13,173. Prime factorization of 4498 in exponential form is:

4498 = 21×131×1731

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

∴ So by taking common prime factors GCF of 4498 and 4500 is 2

Greatest Common Factor of 4498 and 4500 by matching factors method

Factors of 4498

List of positive integer factors of 4498 that divides 4498 without a remainder.

1,2,13,26,173,346,2249,4498

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

Greatest Common Factor

We found the factors and prime factorization of 4498 and 4500. The biggest common factor number is the GCF number.
So the greatest common factor 4498 and 4500 is 2.

Also check out the Least Common Multiple of 4498 and 4500

Properties of GCF 4498 and 4500

(i) The GCF of 4498 and 4500 is associative

GCF of 4498 and 4500 = GCF of 4500 and 4498

Related Greatest Common Factor of 4498

Related Greatest Common Factor of 4500

Frequently Asked Questions on GCF of 4498 and 4500

1. What is the GCF of 4498 and 4500?

Answer: GCF of 4498 and 4500 is 2.

2. What are the Factors of 4498?

Answer: Factors of 4498 are 1, 2, 13, 26, 173, 346, 2249, 4498. There are 8 integers that are factors of 4498. The greatest factor of 4498 is 4498.

3. 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.

4. How to Find the GCF of 4498 and 4500?

Answer:

Greatest Common Factor of 4498 and 4500 = 2

Step 1: Find the prime factorization of 4498

4498 = 2 x 13 x 173

Step 2: Find the prime factorization of 4500

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4498 and 4500 is 2