Greatest Common Factor of 7500 and 7503

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 7500, 7503 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7500 and 7503 is 3.

GCF(7500,7503) = 3

GCF of 7500 and 7503

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

GCF of:
and

Greatest Common Factor of 7500 and 7503

GCF of 7500 and 7503 is 3

Prime Factorization of 7500


2 7500
2 3750
3 1875
5 625
5 125
5 25
5 5
1

Prime factors of 7500 are 2,3,5. Prime factorization of 7500 in exponential form is:

7500 = 22×31×54

Prime Factorization of 7503


3 7503
41 2501
61 61
1

Prime factors of 7503 are 3,41,61. Prime factorization of 7503 in exponential form is:

7503 = 31×411×611

∴ So by taking common prime factors GCF of 7500 and 7503 is 3

Greatest Common Factor of 7500 and 7503 by matching factors method

Factors of 7500

List of positive integer factors of 7500 that divides 7500 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,625,750,1250,1500,1875,2500,3750,7500

Factors of 7503

List of positive integer factors of 7503 that divides 7503 without a remainder.

1,3,41,61,123,183,2501,7503

Greatest Common Factor

We found the factors and prime factorization of 7500 and 7503. The biggest common factor number is the GCF number.
So the greatest common factor 7500 and 7503 is 3.

Also check out the Least Common Multiple of 7500 and 7503

Properties of GCF 7500 and 7503

(i) The GCF of 7500 and 7503 is associative

GCF of 7500 and 7503 = GCF of 7503 and 7500

Related Greatest Common Factor of 7500

Related Greatest Common Factor of 7503

Frequently Asked Questions on GCF of 7500 and 7503

1. What is the GCF of 7500 and 7503?

Answer: GCF of 7500 and 7503 is 3.

2. What are the Factors of 7500?

Answer: Factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500. There are 30 integers that are factors of 7500. The greatest factor of 7500 is 7500.

3. What are the Factors of 7503?

Answer: Factors of 7503 are 1, 3, 41, 61, 123, 183, 2501, 7503. There are 8 integers that are factors of 7503. The greatest factor of 7503 is 7503.

4. How to Find the GCF of 7500 and 7503?

Answer:

Greatest Common Factor of 7500 and 7503 = 3

Step 1: Find the prime factorization of 7500

7500 = 2 x 2 x 3 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 7503

7503 = 3 x 41 x 61

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7500 and 7503 is 3