Greatest Common Factor of 7500 and 7506

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, 7506 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7500 and 7506 is 6.

GCF(7500,7506) = 6

GCF of 7500 and 7506

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

GCF of:
and

Greatest Common Factor of 7500 and 7506

GCF of 7500 and 7506 is 6

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 7506


2 7506
3 3753
3 1251
3 417
139 139
1

Prime factors of 7506 are 2,3,139. Prime factorization of 7506 in exponential form is:

7506 = 21×33×1391

∴ So by taking common prime factors GCF of 7500 and 7506 is 6

Greatest Common Factor of 7500 and 7506 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 7506

List of positive integer factors of 7506 that divides 7506 without a remainder.

1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506

Greatest Common Factor

We found the factors and prime factorization of 7500 and 7506. The biggest common factor number is the GCF number.
So the greatest common factor 7500 and 7506 is 6.

Also check out the Least Common Multiple of 7500 and 7506

Properties of GCF 7500 and 7506

(i) The GCF of 7500 and 7506 is associative

GCF of 7500 and 7506 = GCF of 7506 and 7500

Related Greatest Common Factor of 7500

Related Greatest Common Factor of 7506

Frequently Asked Questions on GCF of 7500 and 7506

1. What is the GCF of 7500 and 7506?

Answer: GCF of 7500 and 7506 is 6.

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 7506?

Answer: Factors of 7506 are 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506. There are 16 integers that are factors of 7506. The greatest factor of 7506 is 7506.

4. How to Find the GCF of 7500 and 7506?

Answer:

Greatest Common Factor of 7500 and 7506 = 6

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 7506

7506 = 2 x 3 x 3 x 3 x 139

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7500 and 7506 is 6