Greatest Common Factor of 7500 and 7502

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, 7502 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7500 and 7502 is 2.

GCF(7500,7502) = 2

GCF of 7500 and 7502

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

GCF of:
and

Greatest Common Factor of 7500 and 7502

GCF of 7500 and 7502 is 2

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 7502


2 7502
11 3751
11 341
31 31
1

Prime factors of 7502 are 2,11,31. Prime factorization of 7502 in exponential form is:

7502 = 21×112×311

∴ So by taking common prime factors GCF of 7500 and 7502 is 2

Greatest Common Factor of 7500 and 7502 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 7502

List of positive integer factors of 7502 that divides 7502 without a remainder.

1,2,11,22,31,62,121,242,341,682,3751,7502

Greatest Common Factor

We found the factors and prime factorization of 7500 and 7502. The biggest common factor number is the GCF number.
So the greatest common factor 7500 and 7502 is 2.

Also check out the Least Common Multiple of 7500 and 7502

Properties of GCF 7500 and 7502

(i) The GCF of 7500 and 7502 is associative

GCF of 7500 and 7502 = GCF of 7502 and 7500

Related Greatest Common Factor of 7500

Related Greatest Common Factor of 7502

Frequently Asked Questions on GCF of 7500 and 7502

1. What is the GCF of 7500 and 7502?

Answer: GCF of 7500 and 7502 is 2.

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 7502?

Answer: Factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502. There are 12 integers that are factors of 7502. The greatest factor of 7502 is 7502.

4. How to Find the GCF of 7500 and 7502?

Answer:

Greatest Common Factor of 7500 and 7502 = 2

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 7502

7502 = 2 x 11 x 11 x 31

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 7500 and 7502 is 2